CONTINUOUS DEPENDENCE ON THE INITIAL-TIME GEOMETRY IN GENERALIZED HEAT-CONDUCTION

Authors
PAYNE LE SONG JC
Citation
Le. Payne et Jc. Song, CONTINUOUS DEPENDENCE ON THE INITIAL-TIME GEOMETRY IN GENERALIZED HEAT-CONDUCTION, Mathematical models and methods in applied sciences, 7(1), 1997, pp. 125-138
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
7
Issue
1
Year of publication
1997
Pages
125 - 138
Database
ISI
SICI code
0218-2025(1997)7:1<125:CDOTIG>2.0.ZU;2-0
Abstract
In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assum ing the initial data to be measured on a surface t = epsilon F(x), for \F\ < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.