Global gradient bounds for dissipative diffusion operators

DOI10.1016/j.crma.2004.05.016zbMath1054.60079OpenAlexW2034008984MaRDI QIDQ1887023

Giuseppe Da Prato, Zeev Sobol, Michael Roeckner, Vladimir I. Bogachev

Publication date: 23 November 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.2004.05.016

Mathematics Subject Classification ID

Diffusion processes (60J60) Second-order elliptic equations (35J15) Transition functions, generators and resolvents (60J35)

Cites Work

• Singular dissipative stochastic equations in Hilbert spaces
• Regularity of invariant measures: The case of non-constant diffusion part
• ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
• A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
• Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
• ON THE SPECTRUM OF A CLASS OF NON-SECTORIAL DIFFUSION OPERATORS
• Elliptic operators with unbounded coefficients: Construction of a maximal dissipative extension
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