The general initial-boundary value problems for linear hyperbolic- parabolic coupled system (Q1114079)
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scientific article; zbMATH DE number 4084175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The general initial-boundary value problems for linear hyperbolic- parabolic coupled system |
scientific article; zbMATH DE number 4084175 |
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The general initial-boundary value problems for linear hyperbolic- parabolic coupled system (English)
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1986
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The author considers a general initial boundary value problem for a hyperbolic-parabolic coupled system \(\partial_ tu=Pu+Av+F_ 1\), \(\partial_ tv=Bu+Qv+F_ 2\), and gives a normal form of boundary conditions, which is sufficient and necessary for the boundary value problem and the conjugate boundary value problem to be well-posed. Furthermore, the author proves the existence of differentiable solution in Sobolev spaces of high order.
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linear hyperbolic-parabolic system
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general initial boundary value problem
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hyperbolic-parabolic coupled system
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normal form
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well-posed
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existence
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Sobolev spaces of high order
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