%0 Journal Article
%T Harnack inequality and applications for stochastic generalized porous media equations
%A Feng-Yu Wang
%J Mathematics
%D 2007
%I arXiv
%R 10.1214/009117906000001204
%X By using coupling and Girsanov transformations, the dimension-free Harnack inequality and the strong Feller property are proved for transition semigroups of solutions to a class of stochastic generalized porous media equations. As applications, explicit upper bounds of the $L^p$-norm of the density as well as hypercontractivity, ultracontractivity and compactness of the corresponding semigroup are derived.
%U http://arxiv.org/abs/0708.1671v1