On the solvability of the first mixed problem for strongly hyperbolic system in infinite nonsmooth cylinders (Q1022858)
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scientific article; zbMATH DE number 5567849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solvability of the first mixed problem for strongly hyperbolic system in infinite nonsmooth cylinders |
scientific article; zbMATH DE number 5567849 |
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On the solvability of the first mixed problem for strongly hyperbolic system in infinite nonsmooth cylinders (English)
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23 June 2009
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A strongly hyperbolic system with homogeneous initial and boundary conditions on an infinite cylinder is considered. For the case of a finite cylinder see the paper of one of the author \textit{Nguyen Manh Hung} [Sb. Math. 190, No.~7, 1035--1058 (1999); translation from Mat. Sb. 190, No. 7, 103--126 (1999; Zbl 0962.35036)]. Under some specific conditions for the coefficients, one proves the existence and uniqueness of a generalized solution. The proof is based on Galerkin approximations and uses an extension of the Garding inequality.
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Galerkin method
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homogeneous initial and boundary conditions
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existence and uniqueness
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Garding inequality
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