Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation
type: Item
instance of: scholarly article
title: Global existence and \(L^{\infty}\) estimates of solution for doubly nonlinear parabolic equation
zbMATH Open document ID: 0953.35074
author: Caisheng Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-01-15T00:00:00Z
review text: The Dirichlet problem for a doubly nonlinear degenerate parabolic equation is studied. Global existence, uniqueness, and \(L^\infty\)-estimates of weak solutions are established. The behavior of solutions as \(t\to 0^+\) and \(t\to\infty\) is also investigated. To obtain the \(L^\infty\)-estimates, Moser's iteration technique is used.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1441392
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: behavior of solutions as \(t\to 0^+\) and \(t\to\infty\)
zbMATH Keywords: Moser's iterations
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6695
OpenAlex ID: W1997615962
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DOI: 10.1006/JMAA.1999.6695
description: scientific article; zbMATH DE number 1441392