Decay estimates for the wave equation in two dimensions
Analysis of PDEs
2015-11-24 v2
Abstract
We establish Strichartz estimates (both reversed and some direct ones), pointwise decay estimates, and weighted decay estimates for the linear wave equation in dimension two with an almost scaling-critical potential, in the case when there is no resonance or eigenvalue at the edge of the spectrum. We also prove some simple nonlinear applications.
Cite
@article{arxiv.1506.01832,
title = {Decay estimates for the wave equation in two dimensions},
author = {Marius Beceanu},
journal= {arXiv preprint arXiv:1506.01832},
year = {2015}
}
Comments
34 pages; minor revisions from previous version