Wave equations with time-dependent dissipation. I: Non-effective dissipation (Q818488)
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scientific article; zbMATH DE number 5013614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wave equations with time-dependent dissipation. I: Non-effective dissipation |
scientific article; zbMATH DE number 5013614 |
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Wave equations with time-dependent dissipation. I: Non-effective dissipation (English)
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20 March 2006
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The author constructs the solution of the Cauchy problem to the equation \(u_{tt}-\triangle u+b(t)u_{t}=0,\) where \(b(t)\rightarrow 0\) for \(t\rightarrow \infty \) and deduces \(L^p\)-\(L^q\) estimates of the Strichartz type.
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weak dissipation
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a priori estimate
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wave equation
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Cauchy problem
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\(L^p-L^q\) estimates
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Strichartz type.
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