Continuous dependence on modeling for some well-posed perturbations of thebackward heat equation

Authors
Ames, KA Payne, LE
Citation
Ka. Ames et Le. Payne, Continuous dependence on modeling for some well-posed perturbations of thebackward heat equation, J INEQUAL A, 3(1), 1999, pp. 51-64
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN journal
10255834 → ACNP
Volume
3
Issue
1
Year of publication
1999
Pages
51 - 64
Database
ISI
SICI code
1025-5834(1999)3:1<51:CDOMFS>2.0.ZU;2-8
Abstract
Four different well-posed regularizations of the improperly posed Cauchy pr oblem for the backward heat equation are investigated in order to determine whether solutions of these problems depend continuously on a perturbation parameter. Using differential inequality techniques, we derive results impl ying continuous dependence in each case.