Diffraction from conormal singularities
Analysis of PDEs
2012-04-05 v1
Abstract
In this paper we show that for metrics with conormal singularities that correspond to class C^{1,\alpha} with \alpha>0, the reflected wave is more regular than the incident wave in a Sobolev sense. This is helpful in the analysis of the multiple scattering series since higher order terms can be effectively `peeled off'.
Keywords
Cite
@article{arxiv.1204.0842,
title = {Diffraction from conormal singularities},
author = {Maarten de Hoop and Gunther Uhlmann and András Vasy},
journal= {arXiv preprint arXiv:1204.0842},
year = {2012}
}
Comments
48 pages, no figures