Solvability of the Gellerstedt problem with data on parallel characteristics

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...

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Bibliographic Details
Published inDifferential equations Vol. 53; no. 10; pp. 1346 - 1351
Main Authors Moiseev, E. I., Moiseev, T. E., Kholomeeva, A. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.10.2017
Springer Nature B.V
Subjects
Boundary conditions
Difference and Functional Equations
Differential equations
Existence theorems
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Uniqueness theorems
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Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117100111