\(L^p\)-\(L^q\) estimates for regularly linear hyperbolic systems (Q1038567)
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scientific article; zbMATH DE number 5635179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\)-\(L^q\) estimates for regularly linear hyperbolic systems |
scientific article; zbMATH DE number 5635179 |
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\(L^p\)-\(L^q\) estimates for regularly linear hyperbolic systems (English)
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18 November 2009
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The Cauchy problem for an \(m\times m\) strictly hyperbolic first-order linear system with bounded time dependent coefficients is considered. Under some very special assumptions, an \(L^p\)-\(L^q\) estimate for the solution is proved. The estimation is related to the result in the paper of [\textit{M. Reissing} and \textit{K. Yagdjian}, Math. Nachr. 214, 71--104 (2000; Zbl 1006.35057)].
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\(L^p\)-\(L^q\) estimates
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first-order linear hyperbolic systems
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unbounded coefficients
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time dependent coefficients
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