Semiclassical measure for the solution of the Helmholtz equation with an unbounded source
Mathematical Physics
2013-02-05 v1 Analysis of PDEs
math.MP
Abstract
We study the high frequency limit for the dissipative Helmholtz equation when the source term concentrates on a submanifold of R^n. We prove that the solution has a unique semi-classical measure, which is precisely described in terms of the classical properties of the problem. This result is already known when the micro-support of the source is bounded, we now consider the general case.
Keywords
Cite
@article{arxiv.1302.0811,
title = {Semiclassical measure for the solution of the Helmholtz equation with an unbounded source},
author = {Julien Royer},
journal= {arXiv preprint arXiv:1302.0811},
year = {2013}
}