Stability for determining the principal coefficient of parabolic equation

Demir A., Erdem A.

APPLIED MATHEMATICS AND COMPUTATION, vol.219, no.8, pp.3826-3830, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 219 Issue: 8
  • Publication Date: 2012
  • Doi Number: 10.1016/j.amc.2012.10.011
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3826-3830
  • Kocaeli University Affiliated: Yes

Abstract

This work investigates stability of an inverse problem for a backward linear parabolic heat problem by using an initial temperature measurement. This kinds of problem has been widely used in a various field of pure and applied science. The necessary condition of the minimizer for the cost functional are constructed by using the optimal control theory. Stability of the minimizer for the cost functional is proved based on the necessary condition. (C) 2012 Elsevier Inc. All rights reserved.