Almost everywhere well-posedness of continuity equations with measure initial data

Comptes Rendus Mathematique

Volumn 348, Issue 5-6, 2010, Pages 249-252

  Ambrosio, Luigi ^a   Figalli, Alessio ^b  

^a SCUOLA NORMALE SUPERIORE   (Italy)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77649234650     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2010.01.018     Document Type: Article

References (13)

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8. DiPerna R.J., and Lions P.L. Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98 (1989) 511-547
9. A. Figalli, T. Paul, work in preparation
10. P. Gérard, Mesures semi-classiques et ondes de Bloch, in: Seminaire sur les Équations aux Dérivées Partielles, 1990-1991. Exp. No. XVI, 19 pp., École Polytechnique, Palaiseau, 1991
11. Lions P.L., and Paul T. Sur les mesures de Wigner. Rev. Mat. Iberoamericana 9 (1993) 553-618
12. Lions P.L. Mathematical Topics in Fluid Mechanics, vol. I: Incompressible Models. Oxford Lecture Series in Mathematics and Its Applications vol. 3 (1996), Oxford University Press
13. Lions P.L. Mathematical Topics in Fluid Mechanics, vol. II: Compressible Models. Oxford Lecture Series in Mathematics and Its Applications vol. 10 (1998), Oxford University Press