J
Jean Dolbeault
Researcher at Paris Dauphine University
Publications - 308
Citations - 7911
Jean Dolbeault is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Sobolev inequality & Nonlinear system. The author has an hindex of 42, co-authored 293 publications receiving 7072 citations. Previous affiliations of Jean Dolbeault include Paul Sabatier University & PSL Research University.
Papers
More filters
Journal Article
Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators
TL;DR: The generalized version of Hardy inequalities with several singularities is equivalent to some spectral information on a Schrodinger operator involving a potential with several inverse square singularities as discussed by the authors, which is the case for Dirac operators.
Posted Content
Improved interpolation inequalities, relative entropy and fast diffusion equations
Jean Dolbeault,Giuseppe Toscani +1 more
TL;DR: In this paper, the authors consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev's inequality and the logarithmic SNS inequality, with optimal constants.
Journal ArticleDOI
Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion
TL;DR: In this paper, the authors investigated how to relate Sobolev and Hardy-Littlewood-Sobolev inequalities using the flow of a fast diffusion equation in dimension $d\ge3.
Journal ArticleDOI
Stationary states in plasma physics: maxwellian solutions of the vlasov-poisson system
Jean Dolbeault,Jean Dolbeault +1 more
TL;DR: In this article, the authors studied the Maxwellian solutions of the stationary Vlasov-Poisson system, which describes stationary states for plasma, and proved existence, uniqueness and regularity results for these solutions.
Journal ArticleDOI
Relative Entropies for Kinetic Equations in Bounded Domains (Irreversibility, Stationary Solutions, Uniqueness)
TL;DR: The relative entropy method as mentioned in this paper describes the irreversibility of the Vlasov-Boltzmann-Poisson system in bounded domains with incoming boundary conditions, and is used to analyse other types of boundary conditions such as mass and energy-preserving diffuse-reflection boundary conditions.