Identification of an Unknown Coefficient Approximately

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 Ut(x,t) = Uxx(x,t) + a(x,t)u(x,t), with Dirichlet boundary conditions u(0,t) =?0, u(l,t) = ?1 It is shown that the unknown coefficient a(x,t) can be approximately determined via semigroup approach. © 2009 American Institute of Physics.