A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods
Analysis of PDEs
2014-03-04 v2
Abstract
A new approach 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 Lipschitz index to strengthen the detection.
Cite
@article{arxiv.1311.0542,
title = {A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods},
author = {Shijie Gu},
journal= {arXiv preprint arXiv:1311.0542},
year = {2014}
}
Comments
9 pages, 2 figures, SIAM 2013 Annual Meeting, to appear in Int. J. Appl. Math. arXiv admin note: substantial text overlap with arXiv:1309.5403