Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality
Pierre Fougères, Ivan Gentil, Bogusław Zegarliński · Annales mathématiques Blaise Pascal · 2017
We study global existence, uniqueness and positivity of weak solutions of a class of reaction-diffusion systems coming from chemical reactions. The principal result is based only on a logarithmic Sobolev inequality and the exponential integrability of the initial data. In particular we develop a strategy independent of dimensions in an unbounded domain.