Spectral transmission problem with surface dissipation of energy (Q2901723)
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scientific article; zbMATH DE number 6062237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral transmission problem with surface dissipation of energy |
scientific article; zbMATH DE number 6062237 |
Statements
31 July 2012
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dissipation
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spectral problem
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wave equation
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0.85233855
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0.84925514
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0.8431843
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0.84191155
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0.83857757
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0.83857083
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0.83746195
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Spectral transmission problem with surface dissipation of energy (English)
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This paper deals with following problem NEWLINE\[NEWLINEu_{i,tt}-\Delta u_i=f_i, \text{ in } \Omega_i,\;i=1,2;NEWLINE\]NEWLINE NEWLINE\[NEWLINEu_i=0,\text{ on }S_i,NEWLINE\]NEWLINE NEWLINE\[NEWLINEu_1=u_2,\;u_{1,n}-u_{2,n}+u_1+\alpha u_{1,t}=\psi,\text{ on } \Gamma,NEWLINE\]NEWLINE where \(S_i=\Omega_i\setminus \Gamma\), \(S=\partial\Omega_1\cap\partial\Omega_2\). The author also considers the corresponding abstract problem and the generalization of this problem in the form of a multicomponent transmission problem with surface dissipation of energy.
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