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Type: Artigo de periódico
Title: A Singular Parabolic Equation With Logarithmic Nonlinearity And Lp-initial Data
Author: Ferreira L.C.F.
de Queiroz O.S.
Abstract: We study a parabolic equation with logarithmic nonlinearity and homogeneous Dirichlet condition in a smooth bounded domain. We firstly prove a result about existence of positive solutions with initial data in Lp-spaces, 1<p<∞; in order to overcome the singular logarithmic nonlinearity, among other arguments, we employ Hardy's inequality. After, the life span of the obtained solutions is studied. In particular we show a connection between global existence and solutions of the associated elliptic problem. © 2010 Elsevier Inc.
Rights: fechado
Identifier DOI: 10.1016/j.jde.2010.03.019
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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