Asymptotic behaviour of stochastic quasi dissipative systems

DOI10.1051/cocv:2002038zbMath1064.47047OpenAlexW2010806270MaRDI QIDQ4421102

Giuseppe Da Prato

Publication date: 19 August 2003

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2002__8__587_0

zbMATH Keywords

invariant measuresreaction-diffusion equationsstochastic systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Markov semigroups and applications to diffusion processes (47D07) Ordinary differential equations and systems with randomness (34F05) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Stationary Hamilton--Jacobi Equations in Hilbert Spaces and Applications to a Stochastic Optimal Control Problem
• Strong feller property for stochastic semilinear equations
• Ergodicity for Infinite Dimensional Systems
• Second order PDE's in finite and infinite dimension
• Stochastic Equations in Infinite Dimensions

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