On the nonuniqueness of the solution of the Tricomi problem with the generalized Frankl matching condition

Autor:	T. E. Moiseev
Rok vydání:	2014
Předmět:	Partial differential equation General Mathematics Mathematical analysis Zero (complex analysis) State (functional analysis) Domain (mathematical analysis) Euler–Tricomi equation symbols.namesake Harmonic function Ordinary differential equation symbols Boundary value problem Analysis Mathematics
Zdroj:	Differential Equations. 50:1378-1383
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266114100115
Popis:	We obtain an integral representation of the solution of the Tricomi problem for the Lavrent’ev-Bitsadze equation with mixed boundary conditions in the elliptic part of the domain and with zero posed on one characteristic of the equation. The gradient of the solution is not continuous but satisfies some condition referred to as the “generalized Frankl matching condition.” We state theorems implying that the inhomogeneous Tricomi problem either has a unique solution or is determined modulo a solution of the homogeneous Tricomi problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c7c8c458f716cb2107f7d586187d1f4d https://doi.org/10.1134/s0012266114100115 Zobrazit plný text záznamu Plný text ve formátu PDF