A fast diffusion equation which generates a monotone local semiflow. II: Global existence and asymptotic behavior (Q1174554)
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scientific article; zbMATH DE number 9030
| Language | Label | Description | Also known as |
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| English | A fast diffusion equation which generates a monotone local semiflow. II: Global existence and asymptotic behavior |
scientific article; zbMATH DE number 9030 |
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A fast diffusion equation which generates a monotone local semiflow. II: Global existence and asymptotic behavior (English)
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25 June 1992
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[For part I, see ibid. 4, 151-174 (1991; Zbl 0731.35059).] This is the second part of the author's series of two papers studying the initial boundary value problem of a fast diffusion equation describing some nonlinear physical phenomena. In this second paper, the author studies the time-global existence and obtains an interesting asymptotic behavior of solutions. He proves that the solutions approach a travelling solution as \(t\to\infty\) by his method.
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fast diffusion equation
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time-global existence
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asymptotic behavior
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Cauchy problem
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semigroup of monotone contractions
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traveling wave
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