International Conference on Numerical Analysis and Applied Mathematics, Rethimnon, Yunanistan, 18 - 22 Eylül 2009, cilt.1168, ss.81-82
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.