Everywhere regularity of certain types of parabolic systems

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dc.creatorTrokhimtchouk, Maxim
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:10:16Z
dc.date.available2026-07-07T10:10:16Z
dc.descriptionIn this paper I discuss nonlinear parabolic systems that are generalizations of scalar diffusion equations. I show that when potential is a convex function that depends only on the norm of the solution, then bounded weak solutions of these parabolic systems are everywhere Holder continuous and thus everywhere smooth. I also show that the method used to prove this result can be easily adopted to simplify the proof of the result due to Wiegner on everywhere regularity of bounded weak solutions of strongly coupled parabolic systems.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0810.2577
dc.identifierhttp://arxiv.org/abs/0810.2577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171561
dc.subjectAnalysis of PDEs
dc.subject35K40; 35K55; 35B65; 35B35; 35D10
dc.titleEverywhere regularity of certain types of parabolic systems
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