New Estimates for a Time-Dependent Schroedinger Equation

Details New Estimates for a Time-Dependent Schroedinger Equation New Estimates for a Time-Dependent Schroedinger Equation

2009-09-22

arxiv.org/abs/0909.4029v2

Mathematics

Analysis of PDEs

49 pages; this is an expanded and improved version of the older paper

Scientific paper

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.

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