{"id":16622,"date":"2020-05-11T07:19:08","date_gmt":"2020-05-11T07:19:08","guid":{"rendered":"http:\/\/cio.edu.umh.es\/?p=16622"},"modified":"2021-07-22T09:50:09","modified_gmt":"2021-07-22T07:50:09","slug":"convergence-of-nonautonomous-multivalued-problems-with-large-diffusion-to-ordinary-differential-inclusions-2020-communications-on-pure-and-applied-analysis-19-4-2347-2368","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2020\/05\/11\/convergence-of-nonautonomous-multivalued-problems-with-large-diffusion-to-ordinary-differential-inclusions-2020-communications-on-pure-and-applied-analysis-19-4-2347-2368\/","title":{"rendered":"Convergence of nonautonomous multivalued problems with large diffusion to ordinary differential inclusions (2020), Communications On Pure And Applied Analysis 19 (4): 2347\u20132368."},"content":{"rendered":"<p>[:es]<strong>Jacson Simsen<\/strong> (<em>Universidade Federal de Itajub\u00e1<\/em>), <strong>Mariza Stefanello Simsen<\/strong> (<em>Universidade Federal de Itajub\u00e1<\/em>) and <strong>Jos\u00e9 Valero<\/strong> (<em>University Miguel Hern\u00e1ndez of Elche).\u00a0<\/em><\/p>\n<p style=\"text-align: left\"><strong>Abstract:\u00a0<\/strong>In this work we consider a family of nonautonomous partial differential inclusions governed by p-laplacian operators with variable exponents and large di\ufb00usion and driven by a forcing nonlinear term of Heaviside type. We prove \ufb01rst that this problem generates a sequence of multivalued nonautonomous dynamical systems possessing a pullback attractor. The main result of this paper states that the solutions of the family of partial di\ufb00erential inclusions converge to the solutions of a limit ordinary di\ufb00erential inclusion for large di\ufb00usion and when the exponents go to 2. After that we prove the upper semicontinuity of the pullback attractors.<\/p>\n<p><strong>Keywords:\u00a0<\/strong>Di\ufb00erential inclusions; large di\ufb00usion, reaction-di\ufb00usion equations; pullback attractors; nonautonomous dynamical systems; multivalued dynamical systems; plaplacian; variable exponent; upper semicontinuity.[:]<\/p>","protected":false},"excerpt":{"rendered":"<p>[:es]Jacson Simsen (Universidade Federal de Itajub\u00e1), Mariza Stefanello Simsen (Universidade Federal de Itajub\u00e1) and Jos\u00e9 Valero (University Miguel Hern\u00e1ndez of Elche).\u00a0<br \/>\nAbstract:\u00a0In this work we consider a family of nonautonomous partial differential inclusions governed by p-laplacian operators with variable exponents and large di\ufb00usion and driven by a forcing nonlinear term of Heaviside type. We prove \ufb01rst [&#8230;]<\/p>","protected":false},"author":6202,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/16622"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/6202"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=16622"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/16622\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=16622"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=16622"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=16622"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}