Propagation of singularities for Schrödinger equations on the Euclidean space with a scattering metric
نویسنده
چکیده
Given a scattering metric on the Euclidean space. We consider the Schrödinger 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 [21]. One of the main results in [21] follows on the Euclidean space with a weaker, almost optimal condition on the potential.
منابع مشابه
Propagation of singularities for Schrödinger equations on the Euclidean space with a scattering metric
Given a scattering metric on the Euclidean space. We consider the Schrödinger 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 [21]. One of th...
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