Global solutions for quasilinear parabolic systems.
type: Item
instance of: scholarly article
title: Global solutions for quasilinear parabolic systems.
zbMATH Open document ID: 1043.35066
DOI: 10.1016/S0022-0396(03)00165-7
author: A. Constantin
author: Joachim Escher
author: Zhaoyang Yin
published in: Journal of Differential Equations
publication date: 2004-03-14T00:00:00Z
review text: An approach is presented for proving the global existence of classical solutions of the quasilinear parabolic systems like \[ u_t-\text{ div}(a(t,x,u,v)\nabla u)=f(t,u,v,\nabla u), \quad t>0, \] \[ v_t-\alpha\,\text{ div}(b(t,x,v)\nabla v)=g(t,u,v,\alpha\nabla v), \quad t>0, \] with homogeneous Dirichlet boundary condition in bounded domain with smooth boundary.
reviewed by: A. E. Shishkov
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2055347
zbMATH Keywords: classical solutions
zbMATH Keywords: Lyapunov function
zbMATH Keywords: Dirichlet condition
Wikidata QID: Q58870057
MaRDI profile type: Publication
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full work available at URL: s0022-0396(03)00165-7
OpenAlex ID: W2060144986
description: scientific article; zbMATH DE number 2055347