Stability of the solution of backward heat equation on a weak compactum

Yildiz B., Ozdemir M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.111, sa.1, ss.1-6, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 111 Sayı: 1
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0096-3003(98)10010-3
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-6
  • Atatürk Üniversitesi Adresli: Evet

Özet

The paper investigates the stability of the Cauchy problem for the Backward heat equation under the a priori assumption that the solution is bounded. A special metrization of the weak topology in the space L-2 and the standard Fourier series technique are applied to obtain stability bounds for the solution of the Cauchy problem on the class of absolutely bounded functions. (C) 2000 Elsevier Science Inc. All Fights reserved.