An inverse problem for a general Schrödinger equation

In this thesis, a general Schrödinger equation is considered with Cauchy initial conditions. In an unbounded domain, by the help of additional data on the solution, the uniqueness of solution of the problem of finding unknown function on the right-hand side of equation is investigated. For this purpose, the results obtained in by Amirov and Yamamoto (2008) is discussed. In the first chapter of the thesis, some basic definitons and theorems are given. In the second chapter, the physical aspects of Schrödinger equation are considered and its solution is given under some spesific conditions. In the third chapter, some lemmata which are necessary for the proof are presented. In the last chapter, the uniqueness of solution of the inverse problem is investigated.