Exponential decay bounds for nonlinear heat problems with Robin boundary conditions
type: Item
instance of: scholarly article
title: Exponential decay bounds for nonlinear heat problems with Robin boundary conditions
zbMATH Open document ID: 1171.35067
author: Monica Marras
author: Stella Vernier Piro
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2009-02-17T00:00:00Z
review text: The authors consider a nonlinear parabolic problem which models a heat conduction process on a bounded domain in \(\mathbb R^2\). It is supposed that the linear radiation (Robin) conditions are prescribed on the boundary. The behavior of solutions of the considered problem is investigated. The authors establish certain conditions on the geometry and data sufficient to preclude the blow up of the solution and to obtain an exponential decay bound for the solution and its gradient.
reviewed by: Michael I. Gil'
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 5508769
zbMATH Keywords: nonlinear parabolic equation
zbMATH Keywords: decay bounds
zbMATH Keywords: maximum principles
zbMATH Keywords: two space dimensions
zbMATH Keywords: linear radiation conditions
zbMATH Keywords: blow up
MaRDI profile type: Publication
full work available at URL: s00033-007-7029-3
OpenAlex ID: W1965138641
DOI: 10.1007/S00033-007-7029-3
description: scientific article; zbMATH DE number 5508769