Email this article Solvability of the Gellerstedt problem with data on parallel characteristics
- Authors: Kholomeeva A.A.1,2, Moiseev E.I.1,2, Moiseev T.E.1
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Affiliations:
- Lomonosov Moscow State University
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Issue: Vol 53, No 10 (2017)
- Pages: 1346-1351
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154595
- DOI: https://doi.org/10.1134/S0012266117100111
- ID: 154595
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Abstract
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.
About the authors
A. A. Kholomeeva
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 11933
E. I. Moiseev
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Author for correspondence.
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 11933
T. E. Moiseev
Lomonosov Moscow State University
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991
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