Nonlinear Fokker-Planck equations with singular integral drifts and McKean-Vlasov SDEs

2024/10/13 by Barbu, Viorel
#35B10(Primary) #60H10(Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.09822

Abstract

One proves the well-posedness in the Sobolev space H^-1 of nonlinear Fokker-Planck equations with singular drifts.Applications to existence of strong solutions to McKean-Vlasov equations are given.

Related

• Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy-Noise
• Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for\n McKean-Vlasov SDEs
• McKean-Vlasov equations and nonlinear Fokker-Planck equations with critical singular Lorentz kernels
• Solutions for nonlinear Fokker-Planck equations with measures as initial\n data and McKean-Vlasov equations
• Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation