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Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains. (English) Zbl 1058.35102
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.

##### MSC:
 35K57 Reaction-diffusion equations 35B41 Attractors
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##### References:
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