The problem of determining source term in a kinetic equation in an unbounded domain

Abstract

In this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise Carleman estimate. In recent years, kinetic equations have occurred in a variety of important fields and applications, such as aerospace engineering, semi-conductor technology, nuclear engineering, chemotaxis, and immunology.

Keywords

• kinetic equation
• inverse problem
• unbounded domain
• uniqueness
• pointwise carleman estimate