Identification of an Unknown Coefficient Approximately

ÖZBİLGE E., DEMİR A.

International Conference on Numerical Analysis and Applied Mathematics, Rethimnon, Greece, 18 - 22 September 2009, vol.1168, pp.81-82, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1168
  • Doi Number: 10.1063/1.3241602
  • City: Rethimnon
  • Country: Greece
  • Page Numbers: pp.81-82
  • Kocaeli University Affiliated: Yes

Abstract

This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient a(x,t) approximately in the 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 semigroup approach.