Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent (Q955894)
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scientific article; zbMATH DE number 5372157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent |
scientific article; zbMATH DE number 5372157 |
Statements
Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent (English)
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24 November 2008
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The parabolic \(p\)-Laplace equation with a source term with critical Sobolev exponent is considered. Sufficient conditions (of potential well type) for global existence and for blow-up in finite time are given.
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parabolic \(p\)-Laplace equation
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critical Sobolev exponent
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potential well
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blow-up
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