{"id":232,"date":"2017-01-26T14:27:36","date_gmt":"2017-01-26T14:27:36","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/swngsn\/?p=232"},"modified":"2017-01-26T14:27:36","modified_gmt":"2017-01-26T14:27:36","slug":"convex-combinations-and-rearrangements-of-solutions-to-elliptic-and-parabolic-equations-paolo-salani-florence","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/2017\/01\/26\/convex-combinations-and-rearrangements-of-solutions-to-elliptic-and-parabolic-equations-paolo-salani-florence\/","title":{"rendered":"Convex combinations and rearrangements of solutions to elliptic and parabolic equations, Paolo Salani (Florence)"},"content":{"rendered":"<p>I will describe a method which allows to compare solutions of different elliptic and parabolic equations in different domains. As a by-product, it is possible to define a new type of rearrangement which applies to equations not necessarily in divergence form, leading to Talenti type results. In the case of variational problems, the method applies to prove Brunn-Minkowski type inequalities for the involved functionals.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I will describe a method which allows to compare solutions of different elliptic and parabolic equations in different domains. As a by-product, it is possible to define a new type of rearrangement which applies to equations not necessarily in divergence form, leading to Talenti type results. In the case of variational problems, the method applies\u2026 <span class=\"read-more\"><a href=\"https:\/\/sites.maths.cf.ac.uk\/swngsn\/2017\/01\/26\/convex-combinations-and-rearrangements-of-solutions-to-elliptic-and-parabolic-equations-paolo-salani-florence\/\">Read More &raquo;<\/a><\/span><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-232","post","type-post","status-publish","format-standard","hentry","category-meeting-5"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts\/232","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/comments?post=232"}],"version-history":[{"count":0,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/posts\/232\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/media?parent=232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/categories?post=232"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/swngsn\/wp-json\/wp\/v2\/tags?post=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}