An L 2 - Estimate for the Solution to the Time - Dependent Schr Odinger Equation

Abstract

For 2 R n ; t 2 R and f 2 S (R n) deene (Sf)(t)^() = exp ? itjj 2 b f(): We determine the optimal regularity s 0 such that Z R n k(Sf))x]k 2 L 2 (R) dx (1 + jxj) b C kfk 2 H s (R n) ; s > s 0 holds where C is independent of f 2 S (R n) or we show that such optimal regularity does not exist. and Wang 12]. Our theorems can be generalized to the case where the… (More)

Cite this paper

@inproceedings{Walther1996AnL2, title={An L 2 - Estimate for the Solution to the Time - Dependent Schr Odinger Equation}, author={Gabriel Walther}, year={1996} }