The L- Continuity of the Wave Operator for the Three Dimensional Schrödinger Operator
نویسنده
چکیده
We consider a three dimensional perturbed Schrödinger operator H = −∆ + V (x), and the associated wave operators, that are defined as the strong L-limits limt→±∞ ee0 . We prove the boundedness of W± as operators onto L, for all p ∈ [1,∞], provided the potential V is small in the Rollnik and Kato norms. We use this result to obtain sharp dispersive estimates for Schrödinger, wave and Klein-Gordon equations.
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