  By the method of coupling and Girsanov transformation, Harnack inequalities
[F.-Y. Wang, 1997] and strong Feller property are proved for the transition
semigroup associated with the multivalued stochastic evolution equation on a
Gelfand triple. The concentration property of the invariant measure for the
semigroup is investigated. As applications of Harnack inequalities, explicit
upper bounds of the $L^p$-norm of the density, contractivity, compactness and
entropy-cost inequality for the semigroup are also presented.

Probability