Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class (Q979029)
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scientific article; zbMATH DE number 5726577
| Language | Label | Description | Also known as |
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| English | Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class |
scientific article; zbMATH DE number 5726577 |
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Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class (English)
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25 June 2010
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The article refers to the classical Cauchy problem for a homogeneous wave equation with a time dependent propagation speed \(a(t)\). In case \(a(t)\) belongs to some Gevrey class and satisfies a so called stabilization property -- introduced by the author in a previous article [Math. Ann. 339, No. 4, 819--838 (2007; Zbl 1132.35054)] -- an improved form for the energy estimates is shown.
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wave equation
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Cauchy problem
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energy estimates
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Gevrey classes
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stabilization property
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