{"id":738,"date":"2022-10-21T13:26:43","date_gmt":"2022-10-21T13:26:43","guid":{"rendered":"https:\/\/pages.charlotte.edu\/colloquium\/?p=738"},"modified":"2022-11-07T16:04:18","modified_gmt":"2022-11-07T16:04:18","slug":"thursday-november-10-2022-0330-0430-2","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2022\/10\/21\/thursday-november-10-2022-0330-0430-2\/","title":{"rendered":"Thursday, November 10, 2022, 03:30-03:30"},"content":{"rendered":"\n<p><strong>Speaker:<\/strong>&nbsp;Tuoc Phan, Professor of Mathematics, University of Tennessee at Knoxville<\/p>\n\n\n\n<p><strong>Title:<\/strong>\u00a0Recent results on linear elliptic and parabolic equations with singular or degenerate coefficients<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>\u00a0The talk is about the analysis theory for second order linear\u00a0elliptic and parabolic equations. We particularly focus on the regularity estimates, existence, and uniqueness of solutions to classes of equations whose coefficients are just measurable. Several classical results when the coefficients are uniformly elliptic and bounded will be reviewed and explained. Motivations to study the equations whose coefficients are neither uniformly elliptic nor bounded will be addressed. Some recent results and developments will be reported. Important open research directions will be mentioned. The main results discussed in talk are based on several papers which are the joint work with\u00a0Hongjie Dong\u00a0(Brown University) and with\u00a0Hung Tran\u00a0(University of Wisconsin at Madison).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:&nbsp;Tuoc Phan, Professor of Mathematics, University of Tennessee at Knoxville Title:\u00a0Recent results on linear elliptic and parabolic equations with singular or degenerate coefficients Abstract:\u00a0The talk is about the analysis theory for second order linear\u00a0elliptic and parabolic equations. We particularly focus on the regularity estimates, existence, and uniqueness of solutions to classes of equations whose coefficients [&hellip;]<\/p>\n","protected":false},"author":2756,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[13],"tags":[],"class_list":["post-738","post","type-post","status-publish","format-standard","hentry","category-fall-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-bU","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/738","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/2756"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=738"}],"version-history":[{"count":4,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/738\/revisions"}],"predecessor-version":[{"id":751,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/738\/revisions\/751"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}