Lagrangian solutions to the Vlasov–Poisson system with L1 density

Author:

Bohun Anna,Bouchut François,Crippa Gianluca

Funder

SNSF

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference40 articles.

1. Transport equation and Cauchy problem for BV vector fields;Ambrosio;Invent. Math.,2004

2. Existence and uniqueness of maximal regular flows for non-smooth vector fields;Ambrosio;Arch. Ration. Mech. Anal.,2015

3. L. Ambrosio, M. Colombo, A. Figalli, On the Lagrangian structure of transport equations: the Vlasov–Poisson system, preprint, 2014.

4. Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields;Ambrosio,2008

5. Continuity equations and ODE flows with non-smooth velocity;Ambrosio;Proc. Roy. Soc. Edinburgh Sect. A,2014

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