Ordinary differential equations, transport theory and Sobolev spaces

DiPerna, R.J.; Lions, Pierre-Louis

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

Journal name

Inventiones Mathematicae

Volume

Number

Publisher

Springer

Pages

511-547

Abstract (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 equations