Source-type solutions of degenerate diffusion equations with absorption (Q1068283)
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scientific article; zbMATH DE number 3929545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Source-type solutions of degenerate diffusion equations with absorption |
scientific article; zbMATH DE number 3929545 |
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Source-type solutions of degenerate diffusion equations with absorption (English)
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1985
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This paper proves a sharp existence theorem for the problem \(u_ t=\Delta (u^ m)-u^ p\), \(m>1\), with initial data a Dirac delta function. The paper also presents some interesting results on the convergence of the solution to the initial data, as \(t\downarrow 0\).
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source-type solutions
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absorption
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degenerate diffusion equations
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existence
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initial data
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