{"id":379,"date":"2025-07-11T11:10:38","date_gmt":"2025-07-11T10:10:38","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=379"},"modified":"2025-07-11T11:19:54","modified_gmt":"2025-07-11T10:19:54","slug":"equacions-en-derivades-parcials-i-teoria-geometrica-de-la-mesura","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/equacions-en-derivades-parcials-i-teoria-geometrica-de-la-mesura\/","title":{"rendered":"Equacions en derivades parcials i Teoria geom\u00e8trica de la mesura"},"content":{"rendered":"\n<p>Altres possibles temes de TFG m\u00e9s enll\u00e0 de l&#8217;an\u00e0lisi harm\u00f2nica inclouen:<\/p>\n<ul>\n<li><strong>Equacions en derivades parcials<\/strong>: Equacions en derivades parcials de segon ordre el\u00b7l\u00edptiques i parab\u00f2liques (f\u00f3rmules de valor mitj\u00e0, continu\u00eftat en la frontera de solucions, funcions de freq\u00fc\u00e8ncia), mesures harm\u00f2niques i cal\u00f2riques.<\/li>\n<li><strong>Teoria geom\u00e8trica de la mesura<\/strong>: Rectificabilitat de conjunts i mesures (tant en contextos Euclidians com no Euclidians), problemes de densitat i mesures uniformes, teorema de Lusin i les seves generalitzacions, conjunts de per\u00edmetre localment finit, desigualtat isoperim\u00e8trica.<\/li>\n<\/ul>\n<p><strong>Les\/els estudiants interessats en aquests temes poden contactar personalment amb <\/strong><strong>mi <\/strong>(carmelo.puliatti@uab.cat)<strong> i podem acordar un projecte despr\u00e9s d\u2019una reuni\u00f3.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Altres possibles temes de TFG m\u00e9s enll\u00e0 de l&#8217;an\u00e0lisi harm\u00f2nica inclouen: Equacions en derivades parcials: Equacions en derivades parcials de segon ordre el\u00b7l\u00edptiques i parab\u00f2liques (f\u00f3rmules de valor mitj\u00e0, continu\u00eftat en la frontera de solucions, funcions de freq\u00fc\u00e8ncia), mesures harm\u00f2niques i cal\u00f2riques. Teoria geom\u00e8trica de la mesura: Rectificabilitat de conjunts i mesures (tant en contextos [&hellip;]<\/p>\n","protected":false},"author":68,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[42],"class_list":["post-379","post","type-post","status-publish","format-standard","hentry","category-analisi-matematica","tag-carmelo-puliatti"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=379"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/379\/revisions"}],"predecessor-version":[{"id":387,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/379\/revisions\/387"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}