Stochastic Fluid Mechanics and SPDEs

seminar: Harnack Inequality and Applications for Stochastic Generalized Porous Media Equations

speaker: Feng-Yu Wang (Beijing Normal University)

abstract: 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.

timetable:
Wed 26 Jul, 12:00 - 12:40, Aula Dini
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