The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation

DOI10.1512/iumj.2023.72.9074zbMath1514.35436arXiv1904.08291MaRDI QIDQ6045837

Michael Roeckner, Viorel Barbu

Publication date: 12 May 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08291

zbMATH Keywords

Lyapunov functionFokker-Planck equationprobability density\(m\)-accretive operator\(H\)-theoremMcKean-Vlasov stochastic differential equationnonlinear distorted Brownian motion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) PDEs with randomness, stochastic partial differential equations (35R60) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Related Items (3)

Linearization of nonlinear Fokker-Planck equations and applications ⋮ Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case ⋮ Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations

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