Global existence of solutions for semilinear damped wave equation in 2-D exterior domain (Q1880748)
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scientific article; zbMATH DE number 2104505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence of solutions for semilinear damped wave equation in 2-D exterior domain |
scientific article; zbMATH DE number 2104505 |
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Global existence of solutions for semilinear damped wave equation in 2-D exterior domain (English)
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1 October 2004
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The paper deals with the equation \(u_{tt}-\triangle u+u_t=| u| ^p\) on the exterior of a circle in \(\mathbb{R}^2\). If \(2<p \), there exists the unique global generalized solution of the equation satisfying homogeneous Dirichlet condition on the circle and small radially symmetric initial data. Moreover, asymptotic behavior of the solution is deduced.
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dissipation
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radial symmetry
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homogeneous Dirichlet condition
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