A STUDY OF WEAKLY DISCONTINUOUS SOLUTIONS FOR HYPERBOLIC DIFFERENTIAL EQUATIONS BASED ON WAVELET TRANSFORM METHODS
S. Gu · International Journal of Apllied Mathematics · 2014
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.