Dissipative stochastic equations in Hilbert space with time dependent coefficients

DOI10.4171/RLM/476zbMath1150.47030OpenAlexW1975006496MaRDI QIDQ2460789

Giuseppe Da Prato, Michael Roeckner

Publication date: 13 November 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/476

zbMATH Keywords

mixingevolution system of measuresdissipative stochastic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Markov semigroups and applications to diffusion processes (47D07) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (12)

Asymptotic stability of evolution systems of probability measures for nonautonomous stochastic systems: Theoretical results and applications ⋮ Asymptotic behavior in time periodic parabolic problems with unbounded coefficients ⋮ Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities ⋮ Non-autonomous stochastic lattice systems with Markovian switching ⋮ Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise ⋮ Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\) ⋮ 2D stochastic Navier-Stokes equations with a time-periodic forcing term ⋮ Stochastic evolution equations in Banach spaces and applications to the Heath-Jarrow-Morton-Musiela equations ⋮ Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces ⋮ Cores for parabolic operators with unbounded coefficients ⋮ Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case ⋮ The existence of evolution systems of measures of non-autonomous stochastic differential equations with infinite delays

Cites Work

• Singular dissipative stochastic equations in Hilbert spaces
• Cauchy problem for nonautonomous Kolmogorov equations
• Existence of solutions to weak parabolic equations for measures
• Ergodicity for Infinite Dimensional Systems

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