On the uniqueness of solutions to continuity equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Bogachev, V. I.^1,2  Da Prato, G.³  Roeckner, M.⁴  Shaposhnikov, S. V.^1,2 

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[2] Natl Res Univ, Higher Sch Econ, Moscow, Russia

[3] Scuola Normale Super Pisa, I-56100 Pisa, Italy

[4] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

关键词: Continuity equation;    Cauchy problem;    Uniqueness;   

DOI  :  10.1016/j.jde.2015.05.003

来源: Elsevier

【 摘 要 】

We obtain sufficient conditions for the uniqueness of solutions to the Cauchy problem for the continuity equation in classes of measures that need not be absolutely continuous. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free