Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68681
Type: Artigo de periódico
Title: ON THE HEAT EQUATION WITH CONCAVE-CONVEX NONLINEARITY AND INITIAL DATA IN WEAK-L-p SPACES
Author: Ferreira, LCF
Villamizar-Roa, EJ
Abstract: We analyze the local well-posedness of the initial-boundary value problem for the heat equation with nonlinearity presenting a combined concave-convex structure and taking the initial data in weak-L-p spaces. Moreover we give a new uniqueness class and obtain some results about the behavior of the solutions near t = 0(+).
Subject: Existence of solutions
singular heat equations
weak-L-p spaces
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/cpaa.2011.10.1715
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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