Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains (Q1879176)
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scientific article; zbMATH DE number 2101851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains |
scientific article; zbMATH DE number 2101851 |
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Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains (English)
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22 September 2004
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The authors investigate conditions for a reaction diffusion equation to be dissipative in an unbounded domain. They show how the combination of the reaction mechanism with the diffusion allows to obtain a global compact attractor. Several generalizations of the previous results to almost monotonic nonlinearities and other cases of initial data are obtained.
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dissipativity
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compact attractor
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almost monotonic nonlinearities
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asymptotic compactness
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