Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations
type: Item
instance of: scholarly article
title: Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations
zbMATH Open document ID: 0912.35027
DOI: 10.1016/S0007-4497(98)80341-2
author: S. R. Bernfeld
author: Yueyun Hu
author: Pierre-A. Vuillermot
published in: Bulletin des Sciences Mathématiques
publication date: 1998-10-18T00:00:00Z
review text: It is proved a result concerning the long-time behavior of solutions to a class of non-autonomous semilinear parabolic Neumann boundary-value problems defined on an open bounded connected subset \(\Omega\) of \(\mathbb{R}^N\). The nature of the equations that are investigated leads to considering of two complementary situations, according to whether the time-dependent lower order terms in the equations possess recurrence properties. The method of proof rests upon the use of comparison principles and upon the existence of exponential dichotomies for the family of evolution operators associated with the principal part of the equations.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1197146
zbMATH Keywords: Neumann boundary-value problems
zbMATH Keywords: recurrence properties
zbMATH Keywords: comparison principles
zbMATH Keywords: exponential dichotomies
reviewed by: Lubomira Softova
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1197146