Abstract
This paper establishes new estimates for linear Schrödinger equations in 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.
Citation
Marius Beceanu. "New estimates for a time-dependent Schrödinger equation." Duke Math. J. 159 (3) 417 - 477, 15 September 2011. https://doi.org/10.1215/00127094-1433394
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