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Global Attractors and Steady State Solutions for a Class of Reaction–Diffusion Systems

✍ Scribed by Le Dung

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
413 KB
Volume
147
Category
Article
ISSN
0022-0396

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✦ Synopsis

We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three equations) in our earlier work (J. Differential Equations 130 (1996), 59 91) are improved.

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