Author:
Barbu Viorel,Röckner Michael
Abstract
AbstractThis work is concerned with the existence of mild solutions to nonlinear Fokker–Planck equations with fractional Laplace operator $$(- \Delta )^s$$
(
-
Δ
)
s
for $$s\in \left( \frac{1}{2},1\right) $$
s
∈
1
2
,
1
. The uniqueness of Schwartz distributional solutions is also proved under suitable assumptions on diffusion and drift terms. As applications, weak existence and uniqueness of solutions to McKean–Vlasov equations with Lévy noise, as well as the Markov property for their laws are proved.
Funder
Deutsche Forschungsgemeinschaft
CNCS-UEFISCDI
Universität Bielefeld
Publisher
Springer Science and Business Media LLC
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Existence of Nonlinear Fokker–Planck Flows;Lecture Notes in Mathematics;2024
2. Introduction;Lecture Notes in Mathematics;2024