On a Class of Stochastic Semilinear PDEs

DOI10.1080/07362990500522452zbMath1105.37052arXivmath/0509446OpenAlexW2126084459MaRDI QIDQ5488652

Luigi Manca

Publication date: 22 September 2006

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509446

zbMATH Keywords

invariant measurespectral gaplog-Sobolev inequalityKolmogorov equationdifferential stochastic equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (5)

The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions ⋮ Well-posedness and stationary solutions of McKean-Vlasov (S)PDEs ⋮ Fokker-Planck equation for Kolmogorov operators associated to stochastic PDE with multiplicative noise ⋮ Existence and uniqueness of invariant measures for a class of transition semigroups on Hilbert spaces ⋮ Maximal dissipativity of Kolmogorov operators with Cahn--Hilliard type drift term

Cites Work

• Kolmogorov equations for stochastic PDEs.
• Geometric theory of semilinear parabolic equations
• Some properties of invariant measures of non symmetric dissipative stochastic systems
• Existence and uniqueness results for semilinear stochastic partial differential equations
• Some Results about Dissipativity of Kolmogorov Operators
• Logarithmic Sobolev Inequalities
• Strong feller property for stochastic semilinear equations
• Ergodicity for Infinite Dimensional Systems
• Second order PDE's in finite and infinite dimension

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