Diffractive Propagation on Conic Manifolds
Analysis of PDEs
2016-05-03 v1
Abstract
In this survey, we review some applications and extensions of the author's results with Richard Melrose on propagation of singularities for solutions to the wave equation on manifolds with conical singularities. These results mainly concern: the local decay of energy on noncompact manifolds with diffractive trapped orbits (joint work with Dean Baskin); singularities of the wave trace created by diffractive closed geodesics (joint work with G. Austin Ford); and the distribution of scattering resonances associated to such closed geodesics (joint work with Luc Hillairet).
Keywords
Cite
@article{arxiv.1605.00502,
title = {Diffractive Propagation on Conic Manifolds},
author = {Jared Wunsch},
journal= {arXiv preprint arXiv:1605.00502},
year = {2016}
}
Comments
15 pages; contribution to Seminaire Laurent Schwartz proceedings