Inégalités de Sobolev-Orlicz non-uniformes
Inégalités isopérimétriques en analyse et probabilités
Integrable system of the heat kernel associated with logarithmic potentials
The heat kernel of a Sturm-Liouville operator with logarithmic potential can be described by using the Wiener integral associated with a real hyperplane arrangement. The heat kernel satisfies an infinite-dimensional analog of the Gauss-Manin connection (integrable system), generalizing a variational formula of Schläfli for the volume of a simplex in the space of constant curvature.
Interior estimates for hypersurfaces moving by mean curvature.
Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds