POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS-Reference-Cited by-同舟云学术

POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS

Published:1995-09 Issue:06 Volume:05 Page:755-775
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

PAYNE L.E.¹,PHILIPPIN G.A.²

Affiliation:

1. Department of Mathematics, Cornell University, Ithaca, NY 14853, USA

2. Département de Mathématiques et de Statistique, Université Laval, Québec, Canada, G1K 7P4, Canada

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 this principle to obtain explicit bounds in the associated Dirichlet problem. Finally we derive explicit pointwise St-Venant type spatial decay estimates for solutions of certain initial-boundary value problems and their gradients in the case of unbounded domains.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000425

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