Improved duality estimates and applications to reaction-diffusion equations
Research output: Contribution to journal › Article › peer-review
Colleges, School and Institutes
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.
|Journal||Communications in Partial Differential Equations|
|Early online date||2 Sep 2013|
|Publication status||Published - 1 May 2014|
- math.AP, 35B45, 35Q72, 82D60