Special Session 86: Nonlinear evolution equations and related topics
Contents
This talk concerns the identification of the diffusion coefficient in linear evolution equations in a Hilbert space. The problem has already been solved by G. Mola (2012) in which Faedo-Galerkin methods was employed. The employed methods mean that a range of the application is restricted to the parabolic problems on {\it bounded} domains. The purpose of this talk is to replace Faedo-Galerkin methods with methods of Yosida approximation in operator-semigroup theory. The new methods enable us to widen the range of applicability up to the problems on unbouded domains such as the whole Euclidean space.