{"id":78,"date":"2020-02-07T19:08:00","date_gmt":"2020-02-07T18:08:00","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/?p=78"},"modified":"2026-01-07T19:08:22","modified_gmt":"2026-01-07T18:08:22","slug":"the-schauder-estimate-for-kinetic-integral-equations","status":"publish","type":"post","link":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/2020\/02\/07\/the-schauder-estimate-for-kinetic-integral-equations\/","title":{"rendered":"The Schauder estimate for kinetic integral equations"},"content":{"rendered":"\n<p>A new preprint entitled \u00ab\u00a0The Schauder estimate for kinetic integral equations\u00a0\u00bb is available on <a href=\"https:\/\/aps.arxiv.org\/abs\/1812.11870\">arxiv<\/a> and <a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01979425v1\">hal<\/a>. This is a joint work with <a href=\"http:\/\/www.math.uchicago.edu\/~luis\/\">Luis Silvestre<\/a>.A new preprint entitled \u00ab\u00a0The Schauder estimate for kinetic integral equations\u00a0\u00bb is available on <a href=\"https:\/\/aps.arxiv.org\/abs\/1812.11870\">arxiv<\/a> and <a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-01979425v1\">hal<\/a>. This is a joint work with <a href=\"http:\/\/www.math.uchicago.edu\/~luis\/\">Luis Silvestre<\/a>.<\/p>\n\n\n\n<p>Abstract: <em>We establish interior Schauder estimates for kinetic equations with integro-differential diffusion. We study equations of the form f<sub>t<\/sub>+v\u22c5\u2207<sub>x<\/sub>f=L<sub>v<\/sub>f+c, where L<sub>v<\/sub> is an integro-differential diffusion operator of order 2s acting in the v-variable. Under suitable ellipticity and H\u00f6lder continuity conditions on the kernel of L<sub>v<\/sub>, we obtain an a priori estimate for f in a properly scaled H\u00f6lder space.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A new preprint entitled \u00ab\u00a0The Schauder estimate for kinetic integral equations\u00a0\u00bb is available on arxiv and hal. This is a joint work with Luis Silvestre.A new preprint entitled \u00ab\u00a0The Schauder estimate for kinetic integral equations\u00a0\u00bb is available on arxiv and hal. This is a joint work with Luis Silvestre. Abstract: We establish interior Schauder estimates [&hellip;]<\/p>\n","protected":false},"author":138,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-78","post","type-post","status-publish","format-standard","hentry","category-preprint"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/78","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/types\/post"}],"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=78"}],"version-history":[{"count":1,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/78\/revisions"}],"predecessor-version":[{"id":79,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/78\/revisions\/79"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/media?parent=78"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/categories?post=78"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/tags?post=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}