New Estimates for a Time-Dependent Schroedinger Equation
Abstract
This paper establishes new estimates for linear Schroedinger equations in R3 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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