A remark on reaction-diffusion equations in unbounded domains

Details A remark on reaction-diffusion equations in unbounded domains A remark on reaction-diffusion equations in unbounded domains

2002-05-16

arxiv.org/abs/math/0205188v2

Mathematics

Analysis of PDEs

6 pages; to appear on "Discr. Contin. Dynam. Systems (DCDS-A)"; two references added

Scientific paper

We prove the existence of a compact L^2-H^1 attractor for a
reaction-diffusion equation in R^n. This improves a previous result of B. Wang
concerning the existence of a compact L^2-L^2 attractor for the same equation.

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