POINTWISE BOUNDS AND SPATIAL DECAY-ESTIMATES IN HEAT-CONDUCTION PROBLEMS

Authors
PAYNE LE PHILIPPIN GA
Citation
Le. Payne et Ga. Philippin, POINTWISE BOUNDS AND SPATIAL DECAY-ESTIMATES IN HEAT-CONDUCTION PROBLEMS, Mathematical models and methods in applied sciences, 5(6), 1995, pp. 755-775
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
5
Issue
6
Year of publication
1995
Pages
755 - 775
Database
ISI
SICI code
0218-2025(1995)5:6<755:PBASDI>2.0.ZU;2-U
Abstract
In this paper we derive a new maximum principle for the absolute value of the gradient of a solution to the heat equation. We then apply thi s principle to obtain explicit bounds in the associated Dirichlet prob lem. Finally we derive explicit pointwise St-Venant type spatial decay estimates for solutions of certain initial-boundary value problems an d their gradients in the case of unbounded domains.