Global existence for nonlinear parabolic equations with a damping term
type: Item
instance of: scholarly article
title: Global existence for nonlinear parabolic equations with a damping term
zbMATH Open document ID: 1198.35130
author: D. Giachetti
author: Maria Michaela Porzio
published in: Communications on Pure and Applied Analysis
publication date: 2009-04-23T00:00:00Z
review text: The authors prove the global existence of positive and bounded weak solutions to the equation \(\partial_t u -\text{div}(a(x,t,u,\nabla u)) + C|\nabla u|^\nu = g(u)\) (in a bounded and open domain) with an exponent \(\nu\in (1,2]\), a function \(a\) satisfying suitable ellipticity and growth conditions, a locally Lipschitzian function \(g\), and a sufficiently large damping constant \(C>0\).
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 5546288
zbMATH Keywords: source term
MaRDI profile type: Publication
full work available at URL: cpaa.2009.8.923
OpenAlex ID: W1972112701
DOI: 10.3934/CPAA.2009.8.923
description: scientific article; zbMATH DE number 5546288