Solvability of the Gellerstedt problem with data on parallel characteristics
- Авторы: Kholomeeva A.A.1,2, Moiseev E.I.1,2, Moiseev T.E.1
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Учреждения:
- Lomonosov Moscow State University
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Выпуск: Том 53, № 10 (2017)
- Страницы: 1346-1351
- Раздел: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154595
- DOI: https://doi.org/10.1134/S0012266117100111
- ID: 154595
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Аннотация
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.
Об авторах
A. Kholomeeva
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: cmc@cs.msu.ru
Россия, Moscow, 119991; Moscow, 11933
E. Moiseev
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: cmc@cs.msu.ru
Россия, Moscow, 119991; Moscow, 11933
T. Moiseev
Lomonosov Moscow State University
Email: cmc@cs.msu.ru
Россия, Moscow, 119991
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