The classical solution of the mixed problem for the one-dimensional wave equation with the nonsmooth second initial condition

Autor:	J. V. Rudzko, V. I. Korzyuk
Rok vydání:	2021
Předmět:	010302 applied physics Computational Theory and Mathematics General Mathematics 010102 general mathematics 0103 physical sciences Mathematical analysis General Physics and Astronomy Initial value problem 0101 mathematics Wave equation 01 natural sciences Mathematics
Zdroj:	Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 57:23-32
ISSN:	2524-2415 1561-2430
Popis:	In this article, we study the classical solution of the mixed problem in a quarter of a plane for a one-dimensional wave equation. On the bottom of the boundary, the Cauchy conditions are specified, and the second of them has a discontinuity of the first kind at a point. The smooth boundary condition is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. The uniqueness is proved, and the conditions under which a piecewise-smooth solution exists are established. The problem with conjugate conditions is considered
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f78656338b72350657335feef24fe7d4 https://doi.org/10.29235/1561-2430-2021-57-1-23-32 Zobrazit plný text záznamu