TY - JOUR
T1 - Log-Harnack inequality for stochastic Burgers equations and applications
AU - Wang, F.Y.
AU - Wu, J.L.
AU - Xu, L.
PY - 2011
Y1 - 2011
N2 - By proving an L^2-gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As applications, we derive the strong Feller property of the semigroup, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroup, and entropy upper bounds of the transition density.
AB - By proving an L^2-gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As applications, we derive the strong Feller property of the semigroup, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroup, and entropy upper bounds of the transition density.
U2 - 10.1016/j.jmaa.2011.02.032
DO - 10.1016/j.jmaa.2011.02.032
M3 - Article
SN - 0022-247X
VL - 384
SP - 151
EP - 159
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -