Solvability of the Gellerstedt problem with data on parallel characteristics


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We study the Gellerstedt problem for the Lavrent’ev–Bitsadze equation with boundary conditions on parallel characteristics in the hyperbolic domain of the equation. Three distinct types of conditions on the type change lines are considered, and existence and uniqueness theorems for the corresponding problems are proved.

Sobre autores

A. Kholomeeva

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Email: cmc@cs.msu.ru
Rússia, Moscow, 119991; Moscow, 11933

E. Moiseev

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Autor responsável pela correspondência
Email: cmc@cs.msu.ru
Rússia, Moscow, 119991; Moscow, 11933

T. Moiseev

Lomonosov Moscow State University

Email: cmc@cs.msu.ru
Rússia, Moscow, 119991

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