\(L^p\) decay problem for the dissipative wave equation in odd dimensions (Q2568184)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\) decay problem for the dissipative wave equation in odd dimensions |
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\(L^p\) decay problem for the dissipative wave equation in odd dimensions (English)
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10 October 2005
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The Cauchy problem to linear dissipative wave equations in odd dimensions is treated. Using representation formulas and clever inequalities, \(L^p\)-estimates of solutions for all positive \(t\), particularly for \(p\in [1,2)\), are deduced.
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dissipative wave equation
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\(L^p\)-estimate
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integral representation of solution
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\(p\in [1,2)\)
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