Nonlinear wave equations and singular solutions
Analysis of PDEs
2014-09-24 v3
Abstract
We construct solutions to nonlinear wave equations that are singular along a prescribed noncharacteristic hypersurface which is the graph of a function satisfying not the Eikonal but another partial differential equation of the first order. The method of Fuchsian reduction is employed.
Cite
@article{arxiv.math/0601308,
title = {Nonlinear wave equations and singular solutions},
author = {Hideshi Yamane},
journal= {arXiv preprint arXiv:math/0601308},
year = {2014}
}
Comments
9 pages