Isolated boundary singularities of signed solutions of some semilinear parabolic equations (Q5954461)
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scientific article; zbMATH DE number 1700768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isolated boundary singularities of signed solutions of some semilinear parabolic equations |
scientific article; zbMATH DE number 1700768 |
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Isolated boundary singularities of signed solutions of some semilinear parabolic equations (English)
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4 February 2002
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The authors investigate the singular behaviour of signed solutions of the semilinear parabolic equation \(u_t-\Delta u+|u|^{q-1}u=0\) in a cylindrical domain near a boundary point. The description is made in terms of explicit selfsimilar solutions of the same equation in a half-space. Uniqueness of singular solutions is proven as well.
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explicit selfsimilar solutions
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