Diffusion phenomenon of solutions to the Cauchy problem for the damped wave equation (Q2792093)
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scientific article; zbMATH DE number 6556933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion phenomenon of solutions to the Cauchy problem for the damped wave equation |
scientific article; zbMATH DE number 6556933 |
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16 March 2016
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diffusion phenomenon
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damped wave equation
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asymptotic behavior
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0.94901824
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0.93776184
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0.93634605
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0.93202645
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Diffusion phenomenon of solutions to the Cauchy problem for the damped wave equation (English)
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The aim is to survey some recent results on the Cauchy problem for the non-homogeneous damped wave equation, in connection with the diffusion phenomenon. Choosing particular forms for coefficients, the critical exponent could be determined. The survey starts with a discussion on the diffusion phenomenon for the linear wave equation with a constant damping coefficient and is followed by a presentation of the properties of solutions for semilinear damped wave equations. Finally some results for particular damping coefficient and source are shown.NEWLINENEWLINEFor the entire collection see [Zbl 1321.35002].
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