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Log-Harnack inequality for stochastic Burgers equations and applications. (English) Zbl 1227.60079
Authors’ abstract: “By proving an \(L^2\) gradient estimate for the corresponding Galerkin approximation, the log Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As application, we derive the strong Feller property of the semigroups, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroups, and entropy upper bounds of the transition density.”

MSC:
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60H30 Applications of stochastic analysis (to PDEs, etc.)
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