A NONLOCAL INVERSE PROBLEM OF PARABOLIC TYPE IN A BOUNDED DOMAIN

Abstract

This paper examines issues related to the method of integration based on the Green’s function and the uniqueness of the solution of a nonlocal inverse parabolic problem in a bounded domain. When integral equations of the first kind degenerate in inverse problems, various regularization methods can be applied in specific spaces to solve these equations. Many classes of inverse problems of parabolic type belong to the class of conditionally well-posed problems, and in our case, the studied problem falls into this category, which underlines its relevance
Key Words: Partial differential equation, inverse problem, method of integral transformations, regularization method, uniqueness of solution.