{"id":4580,"date":"2022-05-04T10:03:00","date_gmt":"2022-05-04T08:03:00","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/on-the-trace-of-sobolev-spaces-on-the-von-kochs-snowflake-michal-wojciechowski-mathematical-institute-of-the-polish-academy-of-science\/"},"modified":"2022-05-04T10:03:00","modified_gmt":"2022-05-04T08:03:00","slug":"on-the-trace-of-sobolev-spaces-on-the-von-kochs-snowflake-michal-wojciechowski-mathematical-institute-of-the-polish-academy-of-science","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-trace-of-sobolev-spaces-on-the-von-kochs-snowflake-michal-wojciechowski-mathematical-institute-of-the-polish-academy-of-science\/","title":{"rendered":"On the trace of Sobolev spaces on the Von Koch&#8217;s snowflake &#8211; Michal Wojciechowski (Mathematical Institute of the Polish Academy of Science)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch&#8217;s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree&#8217;s theorem, a right inverse does not exist. Our proof is based on the characterization of the trace space. As a by-product we give a very simple proof of Petree&#8217;s theorem. This is joint work with Krystian Kazaniecki. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch&#8217;s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree&#8217;s theorem, a right&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/on-the-trace-of-sobolev-spaces-on-the-von-kochs-snowflake-michal-wojciechowski-mathematical-institute-of-the-polish-academy-of-science\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4580","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1559754000,"unipievents_enddate":1559757600,"unipievents_place":"Sala Seminari (Dip. Matematica).","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4580\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4580"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4580"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}