Two remarks on generalized flows for ordinary differential equations;Deux remarques sur les flots généralisés d'équations différentielles ordinaires

Comptes Rendus Mathematique

Volumn 344, Issue 12, 2007, Pages 759-764

  Hauray, Maxime ^a   Le Bris, Claude ^b,c   Lions, Pierre Louis ^d,e  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b UNIVERSITÉ PARIS EST   (France)

^c INRIA ROCQUENCOURT   (France)

^d Centre de Recherche Interdisciplinaire en Biologie   (France)

^e UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34447559907     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.05.010     Document Type: Article

References (8)

1. Ambrosio L. Transport equation and Cauchy problem for BV vector fields. Invent. Math. 158 (2004) 227-260
2. Ambrosio L., Lecumberry M., and Maniglia S. Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Rend. Sem. Fis. Mat. Padova 114 (2005) 29-50
3. L. Ambrosio, G. Crippa, Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields, preprint, 2006
4. G. Crippa, C. De Lellis, Estimates and regularity results for the DiPerna-Lions flow, J. Reine Angew. Math., a paraître
5. G. Crippa, C. De Lellis, Regularity and compactness for the DiPerna-Lions flow, in: Proceedings of the HYP2006 Conference, Lyon, 2006
6. Di Perna R.J., and Lions P.L. Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98 3 (1989) 511-547
7. C. Le Bris, P.L. Lions, Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients, Diff. Equ., a paraître
8. Lions P.L. Sur les équations différentielles ordinaires et les équations de transport. On ordinary differential equations and transport equations. C. R. Acad. Sci. Paris, Sér. I. Math. 326 7 (1998) 833-838