Local Decay Estimates
Analysis of PDEs
2025-01-17 v4 Mathematical Physics
math.MP
Abstract
We give a proof of Local Decay Estimates for Schr\"odinger type equations, which is based on the knowledge of Asymptotic Completeness (AC). This approach extends to time dependent potential perturbations, as it does not rely on Resolvent Estimates or related methods. Global in time Strichartz estimates follow for quasi-periodic time-dependent potentials from our results.
Cite
@article{arxiv.2211.00500,
title = {Local Decay Estimates},
author = {Avy Soffer and Xiaoxu Wu},
journal= {arXiv preprint arXiv:2211.00500},
year = {2025}
}
Comments
Journal version. To appear in Archives Rational Mechanics Analysis (ARMA)