A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods
Analysis of PDEs
2013-12-30 v2
Abstract
A new way to prove the one-dimensional Cauchy problem's weakly discontinuous solutions for hyperbolic PDEs are on the characteristics is discussed in this paper. To do so, I use wavelet singularity detection methods or WTMM [1] based on two-dimensional wavelet transform and combine it with the Lipschits index to strengthen the detection.
Cite
@article{arxiv.1309.5403,
title = {A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods},
author = {Shijie Gu},
journal= {arXiv preprint arXiv:1309.5403},
year = {2013}
}
Comments
This paper has to be withdrawn by the author due a revised version has been uploaded which is arXiv:1311.0542