Wiener chaos and uniqueness for stochastic transport equation

DOI10.1016/j.crma.2011.05.006zbMath1220.60037OpenAlexW2028089000MaRDI QIDQ550417

Mario Maurelli

Publication date: 8 July 2011

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

Full work available at URL: http://hdl.handle.net/2434/642569

zbMATH Keywords

uniqueness resultstochastic transport linear equationWiener chaos decomposition

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Cites Work

• Transport equation and Cauchy problem for BV vector fields
• Well-posedness of the transport equation by stochastic perturbation
• Ordinary differential equations, transport theory and Sobolev spaces
• Dirichlet forms and analysis on Wiener space
• Nonuniqueness of bounded solutions for some BV outside a hyperplane vector field
• Strong solutions of stochastic equations with singular time dependent drift
• Integration of Brownian vector fields.
• Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
• Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System

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