The forward problem for the electromagnetic Helmholtz equation with critical singularities
Analysis of PDEs
2012-11-07 v1
Abstract
We study the forward problem of the magnetic Schr\"odinger operator with potentials that have a strong singularity at the origin. We obtain new resolvent estimates and give some applications on the spectral measure and on the solutions of the associated evolution problem.
Cite
@article{arxiv.1211.1030,
title = {The forward problem for the electromagnetic Helmholtz equation with critical singularities},
author = {Juan Antonio Barceló and Luis Vega and Miren Zubeldia},
journal= {arXiv preprint arXiv:1211.1030},
year = {2012}
}