\(L^p\)-solutions of Fokker-Planck equations

DOI10.1016/j.na.2013.02.022zbMath1278.35247OpenAlexW2069586548MaRDI QIDQ387128

Bin Liu, Jin-Long Wei

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.02.022

zbMATH Keywords

existenceuniquenessFokker-Planck equationtransport equation\(L^p\)-solution

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

Related Items (1)

Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations

Cites Work

• Well-posedness of the transport equation by stochastic perturbation
• Ordinary differential equations, transport theory and Sobolev spaces
• Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients
• Stochastic flows of SDEs with irregular coefficients and stochastic transport equations
• A generalized Itô-Ventzell formula. Application to a class of anticipating stochastic differential equations
• Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
• Elliptic and Parabolic Second-Order PDEs with Growing Coefficients
• Strong solution of the stochastic Burgers equation
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