A SIMPLE PROOF OF LOG-SOBOLEV INEQUALITIES ON A PATH SPACE WITH GIBBS MEASURES

DOI10.1142/S021902570600238XzbMath1098.60060MaRDI QIDQ5483417

Hiroshi Kawabi

Publication date: 14 August 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

gradient estimateSPDE

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Functional inequalities for some generalised Mehler semigroups ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Cites Work

• Functional inequalities and an application for parabolic stochastic partial differential equations containing rotation
• An infinite dimensional stochastic differential equation with state space C(\({\mathbb{R}})\)
• Harnack and functional inequalities for generalized Mehler semigroups.
• Some properties of invariant measures of non symmetric dissipative stochastic systems
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms

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