Stability for determining the principal coefficient of parabolic equation

Demir A., Erdem A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.219, sa.8, ss.3826-3830, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 219 Sayı: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2012.10.011
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3826-3830
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.