Compactness results for time-dependent parabolic systems
type: Item
instance of: scholarly article
title: Compactness results for time-dependent parabolic systems
zbMATH Open document ID: 0604.35041
DOI: 10.1016/0022-0396(86)90084-7
author: Reinhard Redlinger
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: This paper considers the relative compactness in \(C^ 2\) of the orbits of certain systems of nonlinear parabolic partial differential equations where the highest order spatial operator is time-dependent, uniformly elliptic and quasi-linear, and the lower order terms are just continuous. The approach is to first obtain estimates for the abstract problem \(u_ t+A(t)u=f(u)\), \(u(0)=u_ 0\), a problem to which the theory of Sobolevskij may be applied. These estimates are of some interest in themselves.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35R45
zbMATH DE Number: 3975457
zbMATH Keywords: \(\omega \)-limit set
zbMATH Keywords: relative compactness
zbMATH Keywords: orbits
zbMATH Keywords: quasi-linear
zbMATH Keywords: theory of Sobolevskij
reviewed by: John F. Toland
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90084-7
OpenAlex ID: W2092822377
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description: scientific article; zbMATH DE number 3975457