Saddle-point problems in partial differential equations and applications to linear quadratic differential games
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système de Navier-Stokes
Sous-solutions pour un problème unilatéral d'évolution : caractérisation et régularité
Stefan problem in a 2D case
The aim of this paper is to analyze the well posedness of the one-phase quasi-stationary Stefan problem with the Gibbs-Thomson correction in a two-dimensional domain which is a perturbation of the half plane. We show the existence of a unique regular solution for an arbitrary time interval, under suitable smallness assumptions on initial data. The existence is shown in the Besov-Slobodetskiĭ class with sharp regularity in the L₂-framework.
Strong maximum principle for weak solutions of nonlinear parabolic differential inequalities
Strong maximum principle for weakly nonlinear parabolic equations (Preliminary communication)