most citedNotes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials

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math-ph2019★ 2 cited

Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials

W. Ichinose, T. Aoki

The Cauchy problem is studied for the self-adjoint and non-self-adjoint Schroedinger equations. We first prove the existence and uniqueness of solutions in the weighted Sobolev spa…