Absolute continuity of the invariant measures for some stochastic PDEs

DOI10.1023/B:JOSS.0000019816.42914.19zbMath1157.60333OpenAlexW1969572234MaRDI QIDQ1011359

Arnaud Debussche, Giuseppe Da Prato

Publication date: 8 April 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:joss.0000019816.42914.19

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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BV functions in Hilbert spaces ⋮ The Gaussian structure of the singular stochastic Burgers equation ⋮ Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise ⋮ Stochastic three-dimensional rotating Navier-Stokes equations: averaging, convergence and regularity ⋮ Absolutely continuous solutions for continuity equations in Hilbert spaces

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