Document Type

Article

Publication Date

9-2009

Abstract

This paper establishes new estimates for linear Schroedinger equations in R^3 with time-dependent potentials. Some of the results are new even in the time-independent case and all are shown to hold for potentials in scaling-critical, translation-invariant spaces. The proof of the time-independent results uses a novel method based on an abstract version of Wiener's Theorem.

Comments

Posted with permission. Version of record appears here:

M. Beceanu and A. Soffer, "New Estimates for a Time-Dependent Schroedinger Equation," arXiv:0909.4029v2 [math.AP] Sep 2009.

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