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Ordinary differential equations, transport theory and Sobolev spaces

DiPerna, R.J.; Lions, Pierre-Louis (1989), Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, 98, 3, p. 511-547. http://dx.doi.org/10.1007/BF01393835

Type
Article accepté pour publication ou publié
Date
1989
Nom de la revue
Inventiones Mathematicae
Volume
98
Numéro
3
Éditeur
Springer
Pages
511-547
Identifiant publication
Métadonnées
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Auteur(s)
DiPerna, R.J.
Lions, Pierre-Louis
Résumé (EN)
We obtain some new existence, uniqueness and stability results for ordinary differential equations with coefficients in Sobolev spaces. These results are deduced from corresponding results on linear transport equations which are analyzed by the method of renormalized solutions.
Mots-clés
Sobolev spaces; differential equations