A Study of Weakly Discontinuous Solutions for Hyperbolic Differential Equations Based on Wavelet Transform Methods
arXiv:1309.5403
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.
arXiv commentThis paper has to be withdrawn by the author due a revised version has been uploaded which is arXiv:1311.0542