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
TypeArticle accepté pour publication ou publié
Journal nameInventiones Mathematicae
MetadataShow full item record
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 / KeywordsSobolev spaces; differential equations
Showing items related by title and author.
Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations Lions, Pierre-Louis; Souganidis, Panagiotis E. (1984) Article accepté pour publication ou publié
Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions Da Lio, Francesca; Lions, Pierre-Louis; Barles, Guy; Souganidis, Panagiotis E. (2008) Article accepté pour publication ou publié