05-201 Ito Kenichi

Propagation of singularities for Schrodinger equations on the Euclidean space with a scattering metric (456K, pdf) Jun 6, 05

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Abstract. Given a scattering metric on the Euclidean space. We consider the Schrodinger equation corresponding to the metric, and study the propagation of singularities for the solution in terms of the homogeneous wavefront set. We also prove that the notion of the homogeneous wavefront set is essentially equivalent to that of the quadratic scattering wavefront set introduced by J. Wunsch. One of the main results by Wunsch follows on the Euclidean space with a weaker, almost optimal condition on the potential.

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