{"id":18,"date":"2026-01-05T17:46:28","date_gmt":"2026-01-05T16:46:28","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/?page_id=18"},"modified":"2026-03-19T16:52:59","modified_gmt":"2026-03-19T15:52:59","slug":"publications","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Lecture notes<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>De Giorgi&rsquo;s regularity theory for elliptic, parabolic and kinetic equations.  <em>Univ. Berkeley Chancellor&rsquo;s professor Lecture notes, fall 2025.<\/em>  <a href=\"http:\/\/HAL\">hal<\/a> |\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2601.15238\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Preprints<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fisher information for solutions of the Boltzmann equation.&nbsp;<a href=\"https:\/\/hal.science\/hal-05234239\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2509.03045\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;<em>(short review, 14 p.)<\/em><\/li>\n\n\n\n<li><strong>With A. Loher.<\/strong>&nbsp;Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain.&nbsp;<a href=\"https:\/\/hal.science\/hal-04871261\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2501.04368\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With J. Guerand and C. Mouhot.<\/strong>&nbsp;Gehring\u2019s Lemma for kinetic Fokker-Planck equations.&nbsp;<a href=\"https:\/\/hal.science\/hal-04722545\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2410.04933\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/vimeo.com\/1140517039?fl=pl&amp;fe=cm\">video<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.&nbsp;<\/strong>Germs for scalar conservation laws: the Hamilton-Jacobi equation point of view.&nbsp;<a href=\"https:\/\/hal.science\/hal-04635094\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2407.04318\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With P. Auscher and L. Niebel.<\/strong>&nbsp;Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness.&nbsp;<a href=\"https:\/\/hal.science\/hal-04519638\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2403.17464\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With F. Golse and L. Silvestre.<\/strong>&nbsp;Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials.&nbsp;<a href=\"https:\/\/hal.science\/hal-04349073\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2312.11079\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2025<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With L. Silvestre and C. Villani.<\/strong>&nbsp;On the monotonicity of the Fisher information for the Boltzmann equation.&nbsp;<em>Inventiones Mathematicae<\/em>&nbsp;(online).&nbsp;<a href=\"https:\/\/hal.science\/hal-04687106\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2409.01183\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/s00222-025-01376-3\" target=\"_blank\" rel=\"noreferrer noopener\">doi<\/a><\/li>\n\n\n\n<li><strong>With P. Auscher and L. Niebel.<\/strong>&nbsp;Fundamental solutions to Kolmogorov-Fokker-Planck equations with rough coefficients: existence, uniqueness, upper estimates.&nbsp;<em>SIAM J. Math. Anal.&nbsp;<\/em>57 (2), p. 2114-2137.&nbsp;<a href=\"https:\/\/hal.science\/hal-04519657\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2403.17468\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1137\/24M1649241\" target=\"_blank\" rel=\"noreferrer noopener\">doi<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;The twin blow-up method for Hamilton-Jacobi equations in higher dimension.&nbsp;<em>ESAIM: COCV<\/em>.&nbsp;<em>Volume 31, number 12.<\/em>&nbsp;<a href=\"https:\/\/hal.science\/hal-04388950\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2401.07741\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1051\/cocv\/2024090\" target=\"_blank\" rel=\"noreferrer noopener\">doi<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2024<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With N. Forcadel and R. Monneau.&nbsp;<\/strong>Non-convex coercive Hamilton-Jacobi equations: Guerand\u2019s relaxation revisited.&nbsp;<em>Pure and Applied Analysis Vol. 6, No. 4, 1055\u20131089<\/em>.&nbsp;<a href=\"https:\/\/hal.science\/hal-04201310\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2309.08224\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.2140\/paa.2024.6.1055\">doi<\/a><\/li>\n\n\n\n<li>[Proceeding]&nbsp;<strong>With F. Golse.<\/strong>&nbsp;Local regularity for the Landau equation (with Coulomb interaction potential).&nbsp;<em>Kolmogorov operators and their applications, 1\u201322. Springer INdAM Ser., 56.<\/em><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;Coercive Hamilton-Jacobi equations in domains: the twin blow-ups method.&nbsp;<em>Comptes rendus. Math\u00e9matique. Volume 362 (2024), pp. 829-839.<\/em>&nbsp;<a href=\"https:\/\/hal.science\/hal-04247597\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2310.13467\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.5802\/crmath.591\" target=\"_blank\" rel=\"noreferrer noopener\">doi<\/a><\/li>\n\n\n\n<li><strong>With F. Golse, Sehyun Ji and A. F. Vasseur<\/strong>. Local regularity for the space homogeneous Landau equation with very soft potentials<em>. Journal of Evolution Equations. Volume&nbsp;24, article&nbsp;number&nbsp;82<\/em>.&nbsp;<em>&nbsp;<\/em><a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-03736695v1\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1906.02841\" target=\"_blank\" rel=\"noreferrer noopener\">arxiv<\/a> | <a href=\"https:\/\/doi.org\/10.1007\/s00028-024-01009-x\">doi<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2023<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With J. Guerand.<\/strong>&nbsp;Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations.&nbsp;<em>Journal de l\u2019institut math\u00e9matique de Jussieu.<\/em>&nbsp;Volume 22 , Issue 6 , November 2023 , pp. 2749 \u2013 2774.&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-03133950\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2102.04105\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1017\/S1474748022000160\" target=\"_blank\" rel=\"noreferrer noopener\">doi<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2022<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With F. Golse, M. P. Gualdani, A. F. Vasseur<\/strong>. Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential.&nbsp;<em>Annales scientifiques de l\u2019ENS, Fascicule 6, tome 55, pp. 1575-1611.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02145096\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1906.02841\">arxiv<\/a> | <a href=\"https:\/\/doi.org\/10.24033\/asens.2524\">doi<\/a><\/li>\n\n\n\n<li><strong>With L. Silvestre<\/strong>. Global regularity estimates for the Boltzmann equation without cut-off.&nbsp;<em>Journal of the Am. Math. Soc. Vol 35, No. 3, 625\u2013703.&nbsp;<\/em><a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02304382\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/1909.12729\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1090\/jams\/986\">doi<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2021<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With L. Silvestre.&nbsp;<\/strong>The Schauder estimate for kinetic integral equations.&nbsp;<em>Analysis and PDE.<\/em>&nbsp;<em>Vol. 14, No. 1, 171\u2013204.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01979425v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/aps.arxiv.org\/abs\/1812.11870\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.2140\/apde.2021.14.171\">doi<\/a><\/li>\n\n\n\n<li><strong>With C. Mouhot<\/strong>. The Schauder estimate in kinetic theory with application to a toy nonlinear model.&nbsp;<em>Annales Henri Lebesgue, Vol. 4, pp. 369-405.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01690354v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1801.07891\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.5802\/ahl.75\">doi<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2020<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With L. Silvestre<\/strong>. Regularity for the Boltzmann equation conditional to macroscopic bounds.&nbsp;<em>EMS Surv. Math. Sci.<\/em>&nbsp;<em>7 (2020), 117\u2013172.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02567198v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2005.02997\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/dx.doi.org\/10.4171\/EMSS\/37\">doi<\/a><\/li>\n\n\n\n<li><strong>With R. Tarhini and F. Vigneron<\/strong>. Regularity of solutions of a fractional porous medium equation.&nbsp;<em>Interfaces and free boundaries.Volume 22, Issue 4.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02301369v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/1910.00328\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/dx.doi.org\/10.4171\/IFB\/445\">doi<\/a><\/li>\n\n\n\n<li><strong>With C. Mouhot and L. Silvestre<\/strong>. Gaussian lower bounds for the Boltzmann equation without cut-off.&nbsp;<em>SIAM J. Math. Anal.<\/em>&nbsp;<em>52, no. 3, 2930\u20132944.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02078069\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1903.11278\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.1137\/19M1252375\">doi<\/a><\/li>\n\n\n\n<li><strong>With L. Silvestre.<\/strong>&nbsp;The weak Harnack inequality for the Boltzmann equation without cut-off.&nbsp;<em>Journal of the European Mathematical Society.<\/em>&nbsp;<em>Volume 22, Issue 2, pp. 507\u2013592<\/em>.&nbsp;<a href=\"https:\/\/dx.doi.org\/10.4171\/JEMS\/928\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01357047\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1608.07571\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/www.birs.ca\/events\/2017\/5-day-workshops\/17w5116\/videos\/watch\/201704031422-Imbert.html\">video<\/a><\/li>\n\n\n\n<li><strong>With C. Mouhot and L. Silvestre<\/strong>. Decay estimates for large velocities in the Boltzmann equation without cut-off.&nbsp;<em>Journal de l\u2019\u00c9cole Polytechnique \u2014 Math\u00e9matiques, Volume 7, p. 143-184.<\/em>&nbsp;<a href=\"https:\/\/jep.centre-mersenne.org\/item\/JEP_2020__7__143_0\/\">Journal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/doi.org\/10.5802\/jep.113\">doi&nbsp;<\/a>|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01766669\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1804.06135\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2019<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With T. Jin and L. Silvestre.&nbsp;<\/strong>H\u00f6lder gradient estimates for a class of singular or degenerate parabolic equations.&nbsp;<em>Advances in Nonlinear Analysis, 8(1), pp. 845-867.&nbsp;<\/em><a href=\"https:\/\/doi.org\/10.1515\/anona-2016-0197\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01360547\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/1609.01123\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With F. Golse, C. Mouhot and A. F. Vasseur.<\/strong>&nbsp;Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation.&nbsp;<em>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze<\/em>. PP. 253-295 | Vol. XIX, issue 1.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.2422\/2036-2145.201702_001\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01348065v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1607.08068\">arxiv<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/www.college-de-france.fr\/video\/pierre-louis-lions\/2016\/sem-lions-imbert-20160311.mp4\">video<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2018<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With G. Barles, A. Briani and E. Chasseigne.&nbsp;<\/strong>&nbsp;Flux-limited and classical viscosity solutions for regional control problems.&nbsp;<em>ESAIM:COCV<\/em>, Vol. 24, pp. 1881\u20131906.&nbsp;<a href=\"https:\/\/doi.org\/10.1051\/cocv\/2017076\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01392414\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1611.01977\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With T. Jin and R. Shvydkoy.<\/strong>&nbsp;Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation.&nbsp;<em>Annales de la Facult\u00e9 des Sciences de Toulouse&nbsp;<\/em>. S\u00e9r. 6, 27 no. 4 (2018), p. 667-677.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.5802\/afst.1581\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-02006014v1\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1604.07377\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2017<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With V. D. Nguyen.<\/strong>&nbsp;Generalized junction conditions for degenerate parabolic equations.&nbsp;<em>Calculus of Variations and PDE\u2019s, 56: 157.&nbsp;<\/em><a href=\"https:\/\/doi.org\/10.1007\/s00526-017-1239-0\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01252891\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1601.01862\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With R. Monneau.<\/strong>&nbsp;Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case.&nbsp;<em>Discrete and continuous dynamical systems \u2013 series A, Vol. 37, no. 12, p. 6405 \u2013 6435.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.3934\/dcds.2017278\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01073954\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1410.3056\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With R. Monneau.<\/strong>&nbsp;Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks.&nbsp;<em>Annales Scientifiques de l\u2019\u00c9NS, 50, fascicule 2, pp. 357-448.<\/em>&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00832545\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1306.2428\">arXiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2016<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With R. Shvydkoy and F. Vigneron.<\/strong>&nbsp;Global well-posedness for a non-local Burgers\u2019s equation: the periodic case.&nbsp;<em>Annales de la facult\u00e9 des sciences de Toulouse<\/em>,&nbsp;<em>S\u00e9r. 6, 25 no. 4 (2016), p. 723-758.<\/em>&nbsp;<a href=\"http:\/\/dx.doi.org\/10.5802\/afst.1509\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01160752\">hal&nbsp;<\/a>|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1506.02240\">arxiv&nbsp;<\/a>|&nbsp;<a href=\"http:\/\/afst.cedram.org\/cedram-bin\/article\/AFST_2016_6_25_4_723_0.pdf\">pdf<\/a><\/li>\n\n\n\n<li><strong>With L. Silvestre.<\/strong>&nbsp;Estimates on elliptic equations that hold only where the gradient is large.&nbsp;<em>Journal of the European Mathematical Society, Vol 18, pp. 1321\u20131338. <\/em><a href=\"http:\/\/dx.doi.org\/10.4171\/JEMS\/614\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00832550\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1306.2429\">arXiv<\/a><\/li>\n\n\n\n<li>Finite speed of propagation for a non-local porous medium equation.&nbsp;<em>Colloquium Mathematicum, Vol.143, No. 2, pp. 149-157.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.4064\/cm6511-12-2015\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01081958\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1411.4752\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2015<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With G. Galise and R. Monneau.<\/strong>&nbsp;A junction condition by specified homogenization and application to traffic lights&nbsp;<em>Analysis and PDE, Vol 8, No 8, 1891\u20131929<\/em><a href=\"http:\/\/dx.doi.org\/10.2140\/apde.2015.8.1891\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01010512\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1406.5283\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With A. Mellet.<\/strong>&nbsp;Self-similar solutions for a fractional thin film equation governing hydraulic fractures.&nbsp;<em>Communications in Mathematical Physics<\/em>, vol 340, no. 3, 1187\u20131229.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1007\/s00220-015-2459-9\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00967393\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1403.7491\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;Steady state and long time convergence of spirals moving by forced mean curvature motion.&nbsp;<em>Communications in Partial Differential Equations, 40:6, 1137-1181.&nbsp;<\/em><a href=\"http:\/\/www.tandfonline.com\/action\/showCitFormats?doi=10.1080\/03605302.2014.1002928\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00975120\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1404.2002\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With P. Biler and G. Karch.<\/strong>&nbsp;Nonlocal porous medium equation: Barenblatt profiles and other weak solutions.&nbsp;<em>Archive for Rational Mechanics and Analysis (2015), Vol 215, No 2, pp. 497\u2013529.&nbsp;<\/em><a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00205-014-0786-1\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00795420\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1302.7219\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2014<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With G. Barles, E. Chasseigne and A. Ciomaga.<\/strong>&nbsp;Large Time Behavior of Periodic Viscosity Solutions for Uniformly Elliptic Integro-Differential Equations.&nbsp;<em>Calculus of Variations and Partial Differential Equations<\/em>, 50, no. 1-2, pp. 283\u2013304.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1007\/s00526-013-0636-2\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00743751\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1210.5691\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2013<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With R. Monneau and H. Zidani.<\/strong>&nbsp;A Hamilton-Jacobi approach to junction problems and application to traffic flows.&nbsp;<em>ESAIM: Control, Optim. and Calc. Var. (2013), Vol 19, No 1, pp. 129-166.<\/em><a href=\"http:\/\/dx.doi.org\/10.1051\/cocv\/2012002\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00569010\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1107.3250\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With L. Silvestre.&nbsp;<\/strong>C<sup>1,\u03b1<\/sup>&nbsp;regularity of solutions of degenerate fully non-linear elliptic equations.&nbsp;<em>Advances in Mathematics, Vol 233, pp. 196\u2013206.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.aim.2012.07.033\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00660912\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1201.3739\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2012<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With A. Mellet.<\/strong>&nbsp;Electrified thin films: Global existence of non-negative solutions.&nbsp;<em>Annales de l\u2019IHP, analyse non-lin\u00e9aire (2012), Vol 29, No 11, 413\u2013433<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.anihpc.2012.01.003\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00563372\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1102.0949\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With G. Barles, E. Chasseigne and A. Ciomaga.<\/strong>&nbsp;Lipschitz regularity of solutions for mixed integro-differential equations.&nbsp;<em>Journal of Differential Equations Vol 252 (2012), 6012\u20136060.<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.jde.2012.02.013\"> <\/a><a href=\"http:\/\/dx.doi.org\/10.1016\/j.jde.2012.02.013\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00608848\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1107.3228\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.&nbsp;<\/strong>Uniqueness and existence of spirals moving by forced mean curvature motion.&nbsp;<em>Interfaces and Free Boundaries (2012), Vol 14, pp. 365\u2013400. <\/em><a href=\"http:\/\/dx.doi.org\/10.4171\/IFB\/285\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00452241\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1002.0326\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;Homogenization of accelerated Frenkel-Kontorova models with n types of particles.&nbsp;<em>Trans. Am. Math. Soc. 364 (2012) 6187-6227.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1090\/S0002-9947-2012-05650-9\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00387818\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0906.1722\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2011<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With A. Mellet.<\/strong>&nbsp;Existence of solutions for a higher order non-local equation appearing in crack dynamics.&nbsp;<em>Nonlinearity 24 (2011) 3487\u20133514<\/em><a href=\"http:\/\/dx.doi.org\/10.1088\/0951-7715\/24\/12\/008\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00451017\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1001.5105\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With G. Barles and E. Chasseigne.<\/strong>&nbsp;H\u00f6lder continuity of solutions of second-order elliptic integro-differential equations.&nbsp;<em>Journal of the European Mathematical Society, Vol 13, Issue 1, pp. 1-26.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.4171\/JEMS\/242\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00179690v2\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1009.0685\">arxiv<\/a><\/li>\n\n\n\n<li>Alexandroff-Bakelman-Pucci estimate and Harnack inequality for degenerate\/singular fully non-linear elliptic equations.&nbsp;<em>Journal of Differential Equations Vol 250, Issue 3 (2011), 1325\u20131766<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.jde.2010.07.005\">doi<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00366901v3\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0903.1699\">arxiv<\/a>&nbsp;\u2014&nbsp;<em>The proof of the Harnack inequality (Corollary 1) contained in this paper is not correct. A correct one is given&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1306.2429\">here.<\/a><\/em><\/li>\n\n\n\n<li><strong>With S. Serfaty.<\/strong>&nbsp;Repeated games for eikonal equations, integral curvature flows and integro-differential parabolic equations.&nbsp;<em>Discrete Contin. Dyn. Syst. 29, 4 (2011), 1517\u20131552. <\/em><a href=\"http:\/\/dx.doi.org\/10.3934\/dcds.2011.29.1517\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00429218\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0911.0240\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2010<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With B. Bouchard and R. Elie.<\/strong>&nbsp;Optimal control under stochastic target constraints.&nbsp;<em>SIAM J. Control Optim. Volume 48, Issue 5, pp. 3501-3531.&nbsp;<\/em><a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00373306\/fr\/\">hal<\/a><\/li>\n\n\n\n<li><strong>With N. Alibaud and G. Karch.<\/strong>&nbsp;Asymptotic properties of entropy solutions to fractal Burgers equations.&nbsp;<em>SIAM J. Math. Anal. Volume 42, Issue 1, pp. 354-376 (2010).&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1137\/090753449\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00369449\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0903.3394\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2009<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;Homogenization of some particle systems with two-body interactions and of the dislocation dynamics.&nbsp;<em>Discrete and Continuous Dynamical Systems \u2013 Serie A 23 (2009), no 3, 785-826.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00140545\">hal<\/a><\/li>\n\n\n\n<li>Level set approach for fractional mean curvature flows.&nbsp;<em>Interfaces and Free Boundaries (2009), Vol 11, Issue 1, 153-176. <\/em><a href=\"http:\/\/dx.doi.org\/10.4171\/IFB\/207\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00262386\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0807.2627\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With N. Forcadel and R. Monneau.<\/strong>&nbsp;Homogenization of the fully overdamped Frenkel-Kontorova models.&nbsp;<em>J. Differential Equations 246 (2009), 1057-1097.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.jde.2008.06.034\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00266994\">hal<\/a><\/li>\n\n\n\n<li><strong>With N. Alibaud.<\/strong>&nbsp;Fractional semi-linear parabolic equations with unbounded data.&nbsp;<em>Transations of the American Mathematical Society 361 (2009), 2527-2566.&nbsp;<\/em><a href=\"https:\/\/doi.org\/10.1090\/S0002-9947-08-04758-2\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00144548\">hal<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2008<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With R. Monneau and E. Rouy.<\/strong>&nbsp;Homogenization of first order equations with (u\/\u03b5)-periodic Hamiltonians. Part II: application to dislocation dynamics.&nbsp;<em>Communications in PDEs (2008), Volume 33, No 3, 479 \u2014 516.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1080\/03605300701318922\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00080397\">hal<\/a><\/li>\n\n\n\n<li><strong>With G. Barles.<\/strong>&nbsp;Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions\u2019 Theory Revisited.&nbsp;<em>Annales de l\u2019IHP (2008), Volume 25, No 3, Pages 567-585<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.anihpc.2007.02.007\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00130169\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/math\/0702263\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With R. Monneau.<\/strong>&nbsp;Homogenization of first order equations with (u\/\u03b5)-periodic Hamiltonians. Part I: local equations.&nbsp;<em>Archive for Rational Mechanics and Analysis 187 (2008), 49-89.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1007\/s00205-007-0074-4\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00016270\">hal<\/a><\/li>\n\n\n\n<li><strong>With G. Barles and E. Chasseigne.<\/strong>&nbsp;The Dirichlet problem for second-order elliptic integro-differential equations.&nbsp;<em>Indiana Univ. Math. J. (2008), Volume 57, No 1, 213-146.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1512\/iumj.2008.57.3315\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00150151\">hal<\/a><\/li>\n\n\n\n<li><strong>With I. Gentil.<\/strong>&nbsp;The L\u00e9vy-Fokker-Planck equation: \u03a6-entropies and convergence to equilibrium.&nbsp;<em>Asymptotic Analysis (2008), Vol 59, No 3-4, 125-138.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.3233\/ASY-2008-0887\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00113806\">hal<\/a><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2001-2006<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convexity of solutions and C<sup>1,1<\/sup>&nbsp;estimates for fully nonlinear elliptic equations.&nbsp;<em>Journal de Math\u00e9matiques Pures and Appliqu\u00e9es, Vol 85, Issue 6 (2006), pp. 791-807.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.matpur.2006.01.003\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00012969\">hal<\/a><\/li>\n\n\n\n<li><strong>With J. Droniou.<\/strong>&nbsp;Fractal first order partial differential equations.&nbsp;<em>Archive for Rational Mechanics and Analysis, Vol 182, No 2 (2006), pp. 299-331.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1007\/s00205-006-0429-2\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00004462\">hal<\/a><\/li>\n\n\n\n<li>A non-local regularization of first order Hamilton-Jacobi equations.&nbsp;<em>Journal of Differential Equations, Vol 211, Issue 1 (2005), pp. 218-246.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/doi:10.1016\/j.jde.2004.06.001\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176542\">hal<\/a><\/li>\n\n\n\n<li><strong>With J. Vovelle.<\/strong>&nbsp;A kinetic formulation for multidimensional scalar conservation laws with boundary conditions and applications.&nbsp;<em>SIAM \u2013 Mathematical Analysis, Vol 36, Issue 1 (2004), pp. 214-232.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1137\/S003614100342468X\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176541\">hal<\/a><\/li>\n\n\n\n<li><strong>With J. Droniou and J. Vovelle.<\/strong>&nbsp;An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions.&nbsp;<em>Annales de l\u2019Institut Henri Poincar\u00e9 \u2013 Analyse non lin\u00e9aire, Vol 21, Issue 5 (2004), pp. 689-714.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.anihpc.2003.11.001\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00018746\">hal<\/a><\/li>\n\n\n\n<li>Support functions of Clarke\u2019s generalized jacobian and of its plenary hull.&nbsp;<em>Nonlinear Analysis, Theory, Methods and Applications, Vol 29, No 8 (2002) pp. 1111-1125.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176517\">hal<\/a><\/li>\n\n\n\n<li>Some regularity results for anisotropic motion of fronts.&nbsp;<em>Differential and Integral Equations, Vol 15, No 10 (2002) pp. 1263-1271.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176521\">hal<\/a><\/li>\n\n\n\n<li><strong>With Michel Volle.<\/strong>&nbsp;On vectorial Hamiton-Jacobi equations.&nbsp;<em>Control and Cybernetics, Vol 31, No 3 (2002) pp. 493-506.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176540\">hal<\/a>&nbsp;|&nbsp;<a href=\"https:\/\/cyrilimbert.files.wordpress.com\/2017\/03\/cocyb.pdf\">pdf<\/a><\/li>\n\n\n\n<li>Convex Analysis techniques for Hopf-Lax formulae in Hamilton-Jacobi equations.&nbsp;<em>Journal of Nonlinear and Convex Analysis Vol 2, No 3 (2001) pp. 333-343.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176512\">hal<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Notes and Proceedings<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With J.-B. Hiriart-Urruty.<\/strong>&nbsp;Les fonctions d\u2019appui de la jacobienne g\u00e9n\u00e9ralisi\u00e9e de Clarke and de son enveloppe pl\u00e9n\u00e8ire.&nbsp;<em>C. R. Acad. Sci. Paris S\u00e9r. I Math., Vol 326 No 11 (1998), pp. 1275-1278.&nbsp;<\/em><a href=\"http:\/\/hal.ccsd.cnrs.fr\/ccsd-00176520\">hal<\/a><\/li>\n\n\n\n<li><strong>With I. Gentil.<\/strong>&nbsp;Logarithmic Sobolev inequalities: regularizing effect of L\u00e9vy operators and asymptotic convergence in the L\u00e9vy-Fokker-Planck equation.&nbsp;<em>Stochastics An International Journal of Probability and Stochastic Processes, 81:3, 401-414.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1080\/17442500903080306\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0809.2654\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With P. Biler and G. Karch.<\/strong>&nbsp;Barenblatt profiles for a nonlocal porous medium equation.&nbsp;<em>C. R. Acad. Sci. Paris, Ser. I 349 (2011) 641\u2013645.&nbsp;<\/em><a href=\"http:\/\/dx.doi.org\/10.1016\/j.crma.2011.06.003\">doi<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/hal.archives-ouvertes.fr\/hal-00444392\/fr\/\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1001.0910\">arxiv<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Unpublished  notes <\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>With M. Koumaiha.<\/strong>&nbsp;Error estimates for finite difference schemes associated with Hamilton-Jacobi equations on a junction.&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01120210\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1502.07158\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With T. Souganidis.<\/strong>&nbsp;Phasefield theory for fractional diffusion-reaction equations and applications.&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-00408680\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/0907.5524\">arxiv<\/a><\/li>\n\n\n\n<li><strong>With C. Mouhot.<\/strong>&nbsp;H\u00f6lder regularity for solutions to hypoelliptic equations with bounded measurable coefficients.&nbsp;<a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01152145\">hal<\/a>&nbsp;|&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1505.04608\">arxiv<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Lecture notes Preprints 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2001-2006 Notes and Proceedings Unpublished notes<\/p>\n","protected":false},"author":138,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/pages\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/users\/138"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":9,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":172,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/pages\/18\/revisions\/172"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/media?parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}