New Estimates for a Time-Dependent Schroedinger Equation
Analysis of PDEs
2019-12-19 v2
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.
Cite
@article{arxiv.0909.4029,
title = {New Estimates for a Time-Dependent Schroedinger Equation},
author = {Marius Beceanu},
journal= {arXiv preprint arXiv:0909.4029},
year = {2019}
}
Comments
49 pages; this is an expanded and improved version of the older paper