Attractors in \(L^p(\mathbb R^N)\) and \(H^1(\mathbb R^N)\) for a class of reaction-diffusion equations (Q844956)
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scientific article; zbMATH DE number 5666136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Attractors in \(L^p(\mathbb R^N)\) and \(H^1(\mathbb R^N)\) for a class of reaction-diffusion equations |
scientific article; zbMATH DE number 5666136 |
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Attractors in \(L^p(\mathbb R^N)\) and \(H^1(\mathbb R^N)\) for a class of reaction-diffusion equations (English)
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5 February 2010
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This paper is concerned with a class of nonlinear reaction-diffusion equations. The authors prove that the semigroup of the solutions for this class of equations has global attractors in \(L^p(\mathbb{R}^N)\) and \(H^1(\mathbb{R}^N)\). A closely related work is the same authors' paper [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6 (A), 1901--1908 (2009; Zbl 1221.35203)].
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\(\omega\)-limit compactness
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absorbing set
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