Non uniqueness of bounded solutions for some BV outside a hyperplane vector field;Non unicité des solutions bornées pour un champ de vecteurs BV en dehors d'un hyperplan

Comptes Rendus Mathematique

Volumn 337, Issue 4, 2003, Pages 249-252

  Depauw, Nicolas ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141738641     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00330-3     Document Type: Article

References (5)

1. M. Aizenman, On vector fields as generators of flows: a counterexample to Nelson's conjecture, Ann. of Math. 107 (2) (1978) 287-296.
2. F. Colombini, N. Lerner, Uniqueness of continuous solutions for BV vector fields, Duke Math. J. 111 (2) (2002) 357-384.
3. ∞ solutions for a class of conormal BV vector fields, Preprint de Rennes, 2003.
4. F. Colombini, J. Rauch, Unicity and nonunicity for nonsmooth divergence free transport, Séminaire X-EDP 2002-2003, École Polytechnique, in preparation.
5. R. Di Perna, P.-L. Lions, Ordinary differential equations transport theory and Sobolev spaces, Invent. Math. 98 (1989) 511-547.