An integral inequality for the invariant measure of a stochastic reaction-diffusion equation

DOI10.1007/s00028-016-0349-zzbMath1364.60080arXiv1511.07133OpenAlexW2963530496MaRDI QIDQ2397409

Arnaud Debussche, Giuseppe Da Prato

Publication date: 22 May 2017

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07133

zbMATH Keywords

Malliavin calculusHilbert spacesinvariant measureintegration by partsFomin differentiabilitystochastic reaction-diffusion equationsurface integrals

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (6)

BV functions in Hilbert spaces ⋮ Gradient estimates and maximal dissipativity for the Kolmogorov operator in \(\Phi^4_2\) ⋮ Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation ⋮ Closability of quadratic forms associated to invariant probability measures of SPDEs ⋮ Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces ⋮ Absolutely continuous solutions for continuity equations in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Surface measures generated by differentiable measures
• Estimate for \(P_{t}D\) for the stochastic Burgers equation
• Surface measures in infinite dimension
• A theory of regularity structures
• Kolmogorov equations for stochastic PDEs.
• Hausdorff measures on the Wiener space.
• Surface measures in infinite-dimensional spaces
• Strong solutions to the stochastic quantization equations.
• Paracontrolled distributions and the 3-dimensional stochastic quantization equation
• Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces
• Second order PDE's in finite and infinite dimension

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