## Uniqueness theorem of the Cauchy problem for Schrödinger’s equation in weighted Sobolev spaces.(English)Zbl 1212.35378

Summary: The present paper is concerned with the uniqueness of solutions to the Cauchy problem for the free Schrödinger equation. It is proved by the wellposedness of the associated adjoint problem that the solution to the Cauchy problem is unique in exponential weighted Sobolev spaces.

### MSC:

 35Q40 PDEs in connection with quantum mechanics 35S30 Fourier integral operators applied to PDEs

### Keywords:

free Schrödinger equation