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Article Contents

# A remark on reaction-diffusion equations in unbounded domains

• 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.
Mathematics Subject Classification: 35K57, 35B40, 35B41.

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