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.
Original language | English |
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Place of Publication | Eindhoven |
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Publisher | Eurandom |
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Number of pages | 13 |
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Publication status | Published - 2010 |
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Name | Report Eurandom |
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Volume | 2010038 |
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ISSN (Print) | 1389-2355 |
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