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arXiv · 1304.4040

Improved duality estimates and applications to reaction-diffusion equations

José A. Cañizo·Laurent Desvillettes·Klemens Fellner
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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.

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José A. Cañizo, Laurent Desvillettes, Klemens Fellner. 2013-04-15. Improved duality estimates and applications to reaction-diffusion equations. https://doi.org/10.1080/03605302.2013.829500

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