Some boundary-value problems for linear multidimensional second-order hyperbolic equations (Q1174889)
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scientific article; zbMATH DE number 9599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some boundary-value problems for linear multidimensional second-order hyperbolic equations |
scientific article; zbMATH DE number 9599 |
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Some boundary-value problems for linear multidimensional second-order hyperbolic equations (English)
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25 June 1992
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The author considers a second order differential operator \(L\) in a domain \(H\) in \(\mathbb{R}^{n+1}\), \(n\geq 1\), which is hyperbolic with respect to the last variable. The domain \(H\) is bounded by the hyperplane \(x_{n+1}=0\) and by a characteristic hypersurface of \(L\). Suitable Darboux and Goursat problems for \(L\) in \(H\) are proved to be well-posed.
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Darboux and Goursat problems
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well-posed
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