{"id":15400,"date":"2019-12-19T10:03:57","date_gmt":"2019-12-19T10:03:57","guid":{"rendered":"http:\/\/cio.edu.umh.es\/?p=15400"},"modified":"2021-07-22T09:50:16","modified_gmt":"2021-07-22T07:50:16","slug":"extremal-bounded-complete-trajectories-for-nonautonomous-reaction-diffusion-equations-with-discontinuous-forcing-term-2019-revista-matematica-complutense-1-35","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2019\/12\/19\/extremal-bounded-complete-trajectories-for-nonautonomous-reaction-diffusion-equations-with-discontinuous-forcing-term-2019-revista-matematica-complutense-1-35\/","title":{"rendered":"Extremal bounded complete trajectories for nonautonomous reaction\u2013diffusion equations with discontinuous forcing term (2019), Revista Matem\u00e1tica Complutense: 1-35"},"content":{"rendered":"<p>[:es]<strong>Tom\u00e1s Caballero\u00a0<\/strong>(<em>The University of Sevilla<\/em>), <strong>Jos\u00e9 A. Langa<\/strong>(<em>University of Sevilla<\/em>) and <strong>Jos\u00e9 Valero\u00a0<\/strong>(<em>University Miguel Hern\u00e1ndez of Elche<\/em>).<br \/>\n<strong>Abstract.<\/strong>In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the autonomous and nonautonomous cases. In particular, in the last case we prove that the pullback attractor is confined between two special bounded complete trajectories, which play the role of nonautonomous equilibria.<br \/>\n<strong>Keywords.\u00a0<\/strong> Differential inclusions; Reaction\u2013diffusion equations; Pullback attractors; Nonautonomous dynamical systems; Multivalued dynamical systems; Structure; Comparison of solutions.[:]<\/p>","protected":false},"excerpt":{"rendered":"<p>[:es]Tom\u00e1s Caballero\u00a0(The University of Sevilla), Jos\u00e9 A. Langa(University of Sevilla) and Jos\u00e9 Valero\u00a0(University Miguel Hern\u00e1ndez of Elche).<br \/>\nAbstract.In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the autonomous and nonautonomous cases. [&#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\/15400"}],"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=15400"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/15400\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=15400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=15400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=15400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}