A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations

DOI10.1016/j.crma.2004.03.024zbMath1109.60050OpenAlexW2028770334MaRDI QIDQ1876880

Zeev Sobol, Michael Roeckner

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.024

zbMATH Keywords

generalized stochastic Burgers equationStroock-Varadhan's martingale problem

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (5)

The Kolmogorov operator associated to a Burgers SPDE in spaces of continuous functions ⋮ \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise ⋮ Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations

Cites Work

• Singular dissipative stochastic equations in Hilbert spaces
• Second order PDE's in finite and infinite dimension
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