A remark on reaction-diffusion equations in unbounded domains

2002/05/16 by Martino Prizzi, Prizzi, Martino
Computer Science · Engineering · Mathematics · #35B40 #35k57 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations #math.AP #msc:35B40 #msc:35k57

paper · pdf · doi:10.48550/arxiv.math/0205188

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

openalex publication_date 2002/05/16 · arxiv created 2002/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of a compact L²-H¹ attractor for a reaction-diffusion equation in Rⁿ. This improves a previous result of B. Wang concerning the existence of a compact L²-L² attractor for the same equation.

Related

• Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories
• Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on Rⁿ
• Attractors for reaction-diffusion equations on arbitrary unbounded domains
• Attractors of partial differential evolution equations in an unbounded domain
• Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain