- 05-201 Ito Kenichi
- Propagation of singularities for Schrodinger equations on the Euclidean space with a scattering metric
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
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.