Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations

Ou Y. H., Hasanov A., Liu Z. H.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.24, sa.10, ss.1617-1624, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 10
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10114-008-6384-0
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1617-1624
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation. The unknown coefficient of the equation depends on the gradient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.