Wave equation for Sturm-Liouville operator with singular potentials

Autor:	Ruzhansky, Michael, Shaimardan, Serikbol, Yeskermessuly, Alibek
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials. To obtain a solution to the equation, the separation method and asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville operator are used. Homogeneous and inhomogeneous cases of the equation are considered. Next, existence, uniqueness, and consistency theorems for a very weak solution of the wave equation with singular coefficients are proved. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.08278 Zobrazit plný text záznamu View this record from Arxiv