Existence and regularity of a weak function-solution for some Landau equations with a stochastic approach.

DOI10.1016/S0304-4149(02)00107-2zbMath1075.60058OpenAlexW2063465537MaRDI QIDQ2574514

Yanyan Li

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00107-2

zbMATH Keywords

Malliavin calculuswhite noise

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic calculus of variations and the Malliavin calculus (60H07) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (12)

Local existence, lower mass bounds, and a new continuation criterion for the Landau equation ⋮ Estimates for the density of a nonlinear Landau process ⋮ Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules ⋮ Distribution dependent SDEs for Landau type equations ⋮ Nonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdes ⋮ Solving Landau equation for some soft potentials through a probabilistic approach. ⋮ Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials ⋮ Central limit theorem and moderate deviation principle for McKean-Vlasov SDEs ⋮ Pointwise convergence of Boltzmann solutions for grazing collisions in a Maxwell gas via a probabilitistic interpretation ⋮ Measurability of optimal transportation and convergence rate for Landau type interacting particle systems ⋮ Bismut formula for Lions derivative of distribution dependent SDEs and applications ⋮ Harnack inequalities for McKean-Vlasov SDEs driven by subordinate Brownian motions

Cites Work

• Malliavin calculus for white noise driven parabolic SPDEs
• Invariant measures and evolution equations for Markov processes characterized via martingale problems
• White noise driven parabolic SPDEs with measurable drift
• ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
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