Identification of the unknown coefficient in a quasi-linear parabolic equation by a semigroup approach


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ÖZBİLGE E., DEMİR A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-212
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient a(x, t) in the quasi-linear parabolic equation u(t)(x, t) = u(xx)(x, t) + a(x, t)u(x, t) with Dirichlet boundary conditions u(0, t) = psi(0), u(1, t) = psi(1). It is shown that the unknown coefficient a(x, t) can be approximately determined via the semigroup approach.