Some Results about Dissipativity of Kolmogorov Operators
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Publication:3151355
DOI10.1023/A:1013704610695zbMath0996.47028OpenAlexW163271413MaRDI QIDQ3151355
Luciano Tubaro, Giuseppe Da Prato
Publication date: 15 October 2002
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/30665
Reaction-diffusion equations (35K57) Linear symmetric and selfadjoint operators (unbounded) (47B25) Stochastic quantization (81S20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)
Related Items (16)
The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions ⋮ Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach ⋮ THE KOLMOGOROV EQUATION ASSOCIATED TO THE STOCHASTIC NAVIER–STOKES EQUATIONS IN 2D ⋮ Uniqueness for solutions of Fokker-Planck equations related to singular SPDE driven by Lévy and cylindrical Wiener noise ⋮ \(L^2\)-theory for transition semigroups associated to dissipative systems ⋮ Kolmogorov equation associated to a stochastic Kuramoto-Sivashinsky equation ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ An invariance principle for stochastic heat equations with periodic coefficients ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ On weak uniqueness for some degenerate SDEs by global \(L^p\) estimates ⋮ Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces ⋮ A central limit theorem for stochastic heat equations in random environment ⋮ Maximal dissipativity of Kolmogorov operators with Cahn--Hilliard type drift term ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations ⋮ On a Class of Stochastic Semilinear PDEs ⋮ Uniqueness for Solutions of Fokker–Planck Equations on Infinite Dimensional Spaces
Cites Work
- A Hille-Yosida theorem for weakly continuous semigroups
- Strong solutions of Cauchy problems associated to weakly continuous semigroups
- Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization
- Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
- Ergodicity for Infinite Dimensional Systems
- Diffusion semigroups in spaces of continuous functions with mixed topology
- Unnamed Item
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