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The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L 2 × L 2 − H 1 × L 2) attractor for a partly dissipative reaction diffusion system in R n . This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L 2 × L 2 − L 2 × L 2) attractor for the same system.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Oct 12, 2008
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