Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality

Pierre Fougères (1) , Ivan Gentil (2) , Boguslaw Zegarlinski (3)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 EDPA - Équations aux dérivées partielles, analyse
3 Department of Mathematics [Imperial College London]

We study global existence, uniqueness and positivity of weak solutions of a class of reaction-diffusion systems of chemical kinetics type, under the assumptions of logarithmic Sobolev inequality and appropriate exponential integrability of the initial data.

Domaines: Probabilités [math.PR]

Pierre Fougères, Ivan Gentil, Boguslaw Zegarlinski. Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality. Annales Mathématiques Blaise Pascal, 2017, 24 (1), pp.1-53. ⟨hal-00987370⟩