SINGULARITIES OF SOLUTIONS TO THE SCHRÖDINGER EQUATION ON SCATTERING MANIFOLD By

@inproceedings{Ito2009SINGULARITIESOS,
  title={SINGULARITIES OF SOLUTIONS TO THE SCHR{\"O}DINGER EQUATION ON SCATTERING MANIFOLD By},
  author={Kenichi Ito and Shu Nakamura},
  year={2009}
}
In this paper we study microlocal singularities of solutions to Schrödinger equations on scattering manifolds, i.e., noncompact Riemannian manifolds with asymptotically conic ends. We characterize the wave front set of the solutions in terms of the initial condition and the classical scattering maps under the nontrapping condition. Our result is closely related to a recent work by Hassell and Wunsch, though our model is more general and the method, which relies heavily on scattering theoretical… CONTINUE READING

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