On the wave equation with a large rough potential
Analysis of PDEs
2007-05-23 v2 Functional Analysis
Abstract
We prove an optimal dispersive decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. The proof is based on a spectral representation of the solution and suitable resolvent estimates for the perturbed operator.
Cite
@article{arxiv.math/0310199,
title = {On the wave equation with a large rough potential},
author = {Piero D'Ancona and Vittoria Pierfelice},
journal= {arXiv preprint arXiv:math/0310199},
year = {2007}
}
Comments
Major revision, corrected & augmented - 32 pages