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Improved Duality Estimates and Applications to Reaction-Diffusion Equations.
- Source :
-
Communications in Partial Differential Equations . Jun2014, Vol. 39 Issue 6, p1185-1204. 20p. - Publication Year :
- 2014
-
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. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 03605302
- Volume :
- 39
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Communications in Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 95862031
- Full Text :
- https://doi.org/10.1080/03605302.2013.829500