Improved duality estimates and applications to reaction-diffusion equations
Analysis of PDEs
2014-05-05 v1
Abstract
We present a refined duality estimate for parabolic equations. This estimate entails new results for systems of reaction-diffusion equations, including smoothness and exponential convergence towards equilibrium for equations with quadratic right-hand sides in two dimensions. For general systems in any space dimension, we obtain smooth solutions of reaction-diffusion systems coming out of reversible chemistry under an assumption that the diffusion coefficients are sufficiently close one to another.
Keywords
Cite
@article{arxiv.1304.4040,
title = {Improved duality estimates and applications to reaction-diffusion equations},
author = {José A. Cañizo and Laurent Desvillettes and Klemens Fellner},
journal= {arXiv preprint arXiv:1304.4040},
year = {2014}
}