A spatial version of the Itō-Stratonovich correction

DOI10.1214/11-AOP662zbMath1262.60060arXiv1011.0966WikidataQ56894262 ScholiaQ56894262MaRDI QIDQ439881

Martin Hairer, Jan Maas

Publication date: 17 August 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0966

zbMATH Keywords

stochastic Burgers equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Cites Work

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• Approximations to the stochastic Burgers equation
• The stochastic Burgers equation
• Stochastic Burgers and KPZ equations from particle systems
• Existence and uniqueness results for semilinear stochastic partial differential equations
• STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE
• Besov Spaces on Domains in ℝ d
• On the Convergence of Ordinary Integrals to Stochastic Integrals
• Partial Differential Equations
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Analytic semigroups and optimal regularity in parabolic problems
• Stochastic Burgers' equation
• Stochastic Equations in Infinite Dimensions