ON APPROXIMATION OF INVERSE PROBLEMS FOR ABSTRACT HYPERBOLIC EQUATIONS

Abstract

This paper is devoted to the numerical analysis of inverse problems for abstract hyperbolic differential equations. The presentation exploits a general approximation scheme and is based on $C_0$-cosine and $C_0$-semigroup theory within a functional analysis approach. We consider both discretizations in space as well as in time. The discretization in time is considered under the Krein-Fattorini conditions.