2 papers
math.AP2012
Existence of wave operators with time-dependent modifiers for the Schödinger equations with long-range potentials on scattering manifolds
Shinichiro Itozaki
We construct time-dependent wave operators for Schrödinger equations with long-range potentials on a manifold with asymptotically conic structure. We use the two space scatteri…
math.AP2011
Scattering theory for Schrödinger equations on manifolds with asymptotically polynomially growing ends
Shinichiro Itozaki
We study a time-dependent scattering theory for Schrödinger operators on a manifold with asymptotically polynomially growing ends. We use the Mourre theory to show the spectral pro…