Uniqueness in exterior domains for the generalized heat conduction
type: Item
instance of: scholarly article
title: Uniqueness in exterior domains for the generalized heat conduction
zbMATH Open document ID: 1015.35057
DOI: 10.1016/S0893-9659(01)00161-6
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: Uniqueness of solutions of the linear hyperbolic heat conduction equation in the case of unbounded domains is studied in the paper. In the case of the forward-in-time problem, the uniqueness is proved by means of the weighted energy method for the solutions, which increase as the exponential of the square of distance from the origin. For the backward-in-time problem, the uniqueness holds for the solutions, which increase as the exponential of the distance from the origin. In this case, an additional condition is also used.
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1878877
zbMATH Keywords: linear hyperbolic heat conduction equation
zbMATH Keywords: forward-in-time problem
zbMATH Keywords: weighted energy method
zbMATH Keywords: backward-in-time problem
author: Ramón Quintanilla
reviewed by: Arkadi Berezovski
MaRDI profile type: Publication
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full work available at URL: s0893-9659(01)00161-6
OpenAlex ID: W2002003180
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description: scientific article; zbMATH DE number 1878877