Improved duality estimates and applications to reaction-diffusion equations

José A. Cañizo, Laurent Desvillettes, Klemens Fellner

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)
317 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)1185-1204
JournalCommunications in Partial Differential Equations
Issue number6
Early online date2 Sept 2013
Publication statusPublished - 1 May 2014


  • math.AP
  • 35B45, 35Q72, 82D60


Dive into the research topics of 'Improved duality estimates and applications to reaction-diffusion equations'. Together they form a unique fingerprint.

Cite this