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 publiéDate
1989Journal name
Inventiones MathematicaeVolume
98Number
3Publisher
Springer
Pages
511-547
Publication identifier
Metadata
Show full item recordAbstract (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.Subjects / Keywords
Sobolev spaces; differential equationsRelated items
Showing items related by title and author.
-
DiPerna, R.J.; Lions, Pierre-Louis (1991) Article accepté pour publication ou publié
-
DiPerna, R.J.; Lions, Pierre-Louis (1988) Article accepté pour publication ou publié
-
Lions, Pierre-Louis; Souganidis, Panagiotis E. (1998) Article accepté pour publication ou publié
-
Lions, Pierre-Louis; Souganidis, Panagiotis E. (1984) Article accepté pour publication ou publié
-
Da Lio, Francesca; Lions, Pierre-Louis; Barles, Guy; Souganidis, Panagiotis E. (2008) Article accepté pour publication ou publié