Dirichlet-Neumann problem for systems of hyperbolic equations with constant coefficients (Q2808404)
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scientific article; zbMATH DE number 6584001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet-Neumann problem for systems of hyperbolic equations with constant coefficients |
scientific article; zbMATH DE number 6584001 |
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23 May 2016
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system of equations hyperbolic in Petrovsky sense
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existence of solutions
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Dirichlet-Neumann problem for systems of hyperbolic equations with constant coefficients (English)
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The authors investigate a boundary value problem with the Dirichlet-Neumann conditions with respect to time variable for the system of higher order hyperbolic equations with constant coefficients. The problem is considered in the domain being a Cartesian product of an interval and a unite circle. Conditions for problem unique solvability in Sobolev spaces are established and the problem solution is constructed in the form of a vector series with respect to the system of orthogonal functions. For the lower estimates of small denominators occurring while solving the problem a metric approach is used.
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