SPATIAL BOUNDS AND GROWTH-ESTIMATES FOR THE HEAT-EQUATION WITH 3 RELAXATION-TIMES

Authors
QUINTANILLA R
Citation
R. Quintanilla, SPATIAL BOUNDS AND GROWTH-ESTIMATES FOR THE HEAT-EQUATION WITH 3 RELAXATION-TIMES, Mathematical methods in the applied sciences, 20(15), 1997, pp. 1335-1344
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
20
Issue
15
Year of publication
1997
Pages
1335 - 1344
Database
ISI
SICI code
0170-4214(1997)20:15<1335:SBAGFT>2.0.ZU;2-7
Abstract
In this note we investigate spatial bounds for the heat conduction equ ation with three relaxation times. We use energy methods similar to th ose considered in the study of the backward parabolic heat equation. F inally, we show that for any positive choice of the coefficients we ma y take initial data for which the solution is unstable when we suppose that the body is bounded. (C) 1997 by B. G. Teubner Stuttgart-John Wi ley & Sons Ltd.