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Type: Artigo de periódico
Title: A singular parabolic equation with logarithmic nonlinearity and L-p-initial data
Author: Ferreira, LCF
de Queiroz, OS
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 L-p-spaces, 1 < p < infinity; 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. (C) 2010 Elsevier Inc. All rights reserved.
Subject: Local and global existence
Singular equations
Large time behavior
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2010.03.019
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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