Limiting absorption principle for the electromagnetic Helmholtz equation with singular potentials
Analysis of PDEs
2013-09-12 v4
Abstract
We study the following Helmholtz equation in with magnetic and electric potentials that are singular at the origin and decay at infinity. We prove the existence of a unique solution satisfying a suitable Sommerfeld radiation condition, together with some a priori estimates. We use the limiting absorption method and a multiplier technique of Morawetz type.
Cite
@article{arxiv.1104.4237,
title = {Limiting absorption principle for the electromagnetic Helmholtz equation with singular potentials},
author = {Miren Zubeldia},
journal= {arXiv preprint arXiv:1104.4237},
year = {2013}
}