A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions

A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions

For a certain class of second-order hyperbolic systems, a mixed problem with Dirichlet and Poincaré boundary conditions is studied. In the linear case, an explicit representation of a soultion of this problem is given and questions related to its uniqueness and existence are studied depending on the...

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Veröffentlicht in:Mathematical Notes 2023-12, Vol.114 (5-6), p.748-762
Hauptverfasser: Dzhokhadze, O. M., Kharibegashvili, S. S., Shavlakadze, N. N.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Boundary conditions
Dirichlet problem
Hyperbolic systems
Mathematics
Mathematics and Statistics
Nonlinear systems
Nonlinearity
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Beschreibung
Zusammenfassung:For a certain class of second-order hyperbolic systems, a mixed problem with Dirichlet and Poincaré boundary conditions is studied. In the linear case, an explicit representation of a soultion of this problem is given and questions related to its uniqueness and existence are studied depending on the character of nonlinearities in the system.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S000143462311010X