English

A remark on reaction-diffusion equations in unbounded domains

Analysis of PDEs 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0205188,
  title  = {A remark on reaction-diffusion equations in unbounded domains},
  author = {Martino Prizzi},
  journal= {arXiv preprint arXiv:math/0205188},
  year   = {2007}
}

Comments

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