A remark on reaction-diffusion equations in unbounded domains

Abstract

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