High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates
Analysis of PDEs
2011-11-29 v2 Mathematical Physics
math.MP
Abstract
We prove optimal high-frequency resolvent estimates for perturbations of the Laplacian by large long-range magnetic and electric potentials in all dimensions . As an application, we prove dispersive estimates for the corresponding wave group in the case .
Keywords
Cite
@article{arxiv.1111.4839,
title = {High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates},
author = {Fernando Cardoso and Claudio Cuevas and Georgi Vodev},
journal= {arXiv preprint arXiv:1111.4839},
year = {2011}
}
Comments
20 pages, some improvements are made