On the Estimate for Commutators in DiPerna–Lions Theory

DOI10.1007/978-3-0348-0097-6_5zbMath1272.60050OpenAlexW2248051997MaRDI QIDQ2909975

Huaiqian Lee, Shizan Fang

Publication date: 7 September 2012

Published in: Stochastic Analysis with Financial Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0097-6_5

zbMATH Keywords

heat semigroupcommutatorSobolev regularity

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

• Transport equation and Cauchy problem for BV vector fields
• Large deviations and the Malliavin calculus
• Ordinary differential equations, transport theory and Sobolev spaces
• Transport equations and quasi-invariant flows on the Wiener space
• On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Formulae for the derivatives of heat semigroups
• Integration by parts for heat kernel measures revisited
• Heat equation derivative formulas for vector bundles
• Unnamed Item

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