20 citations · 33 across the 14 of their papers we have counts for
4 papers · 1 filter
Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality
Pierre Fougères, Ivan Gentil, Boguslaw Zegarlinski
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 Sobo…
Existence and Exponential mixing of infinite white -stable Systems with unbounded interactions
Lihu Xu, Boguslaw Zegarlinski
We study an infinite white -stable systems with unbounded interactions, proving the existence by Galerkin approximation and exponential mixing property by an -stable version…
Asymptotic behaviour of reversible chemical reaction-diffusion equations
Ivan Gentil, Boguslaw Zegarlinski
We investigate the asymptotic behavior of the a large class of reversible chemical reaction-diffusion equations with the same diffusion. In particular we prove the optimal rate in…
Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
Cyril Roberto, Boguslaw Zegarlinski
We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and infinite dimensional spaces which tails decay slower than the Gaussian ones. We…