An inverse problem for the ultrahyperbolic Schrödinger equation

In this thesis, an ultrahyperbolic Schrödinger equation is considered in an unbounded domain with Cauchy initial conditions. By using the given additional data at the initial time for the solution, uniqueness of solution of an inverse problem of determining a function in the right-hand side of the equation is investigated. In this context, in the first chapter, some basic definitions and theorems which are needed in the other chapters are given. In the second chapter, some auxiliary lemmata are given. In the last chapter, a theorem devoted to the uniqueness of solution of the problem is presented.