A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem
Analysis of PDEs
2017-05-05 v2
Abstract
We present a construction of a multi-scale Gaussian beam parametrix for the Dirichlet boundary value problem associated with the wave equation, and study its convergence rate to the true solution in the highly oscillatory regime. The construction elaborates on the wave-atom parametrix of Bao, Qian, Ying, and Zhang and extends to a multi-scale setting the technique of Gaussian beam propagation from a boundary of Katchalov, Kurylev and Lassas.
Cite
@article{arxiv.1705.00337,
title = {A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem},
author = {Michele Berra and Maarten V. de Hoop and José Luis Romero},
journal= {arXiv preprint arXiv:1705.00337},
year = {2017}
}
Comments
64 pages, 7 figures, minor update