Periodic solutions of parabolic problems with hysteresis on the boundary
type: Item
instance of: scholarly article
title: Periodic solutions of parabolic problems with hysteresis on the boundary
zbMATH Open document ID: 1217.35013
published in: Discrete and Continuous Dynamical Systems
publication date: 2011-03-15T00:00:00Z
review text: The author develops a new approach to study periodic solutions and large-time behavior of solutions of thermocontrol problems with discontinuous hysteresis on the boundary. The approach allows to consider the problem as an infinite-dimensional dynamical system. Sufficient conditions of existence and uniqueness of a periodic solution of the thermocontrol problem are given. It is shown that this solution is a global attractor which attracts any solution exponentially fast.
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 47J40
Mathematics Subject Classification ID: 35B41
zbMATH DE Number: 5866075
zbMATH Keywords: parabolic problems
zbMATH Keywords: hysteresis
zbMATH Keywords: periodic solutions
zbMATH Keywords: global attractor
zbMATH Keywords: thermocontrol problems
zbMATH Keywords: discontinuous hysteresis
author: Pavel Gurevich
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: dcds.2011.29.1041
OpenAlex ID: W2326525731
DOI: 10.3934/DCDS.2011.29.1041
description: scientific article; zbMATH DE number 5866075