The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms
The Tartar equation for homogenization of a model of the dynamics of fine-dispersion mixtures.
The Total Variation of Solutions of Parabolic Differential Equations and a Maximum Principle in Unbounded Domains.
The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems.
In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support.
The zero set of a solution of a parabolic equation.
Thin vortex tubes in the stationary Euler equation
In this paper we outline some recent results concerning the existence of steady solutions to the Euler equation in with a prescribed set of (possibly knotted and linked) thin vortex tubes.
Time Decay for Nonlinear Wave Equations in Two Space Dimensions.
Time Decay for Some Schrödinger Equations.
Traces and fine properties of a class of vector fields and applications
Two symmetry problems in potential theory.
Über eine scharfe Schranke in der Regularitätstheorie elliptischer Systeme.
Une approche élémentaire de quelques résultats de symétrisation
Une introduction à la notion de capacité
Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources.
Uniform zeros for beaded strings
Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions.
Uniqueness for positive solutions of -Laplacian problem in an annulus
Uniqueness of weak solution for nonlinear elliptic equations in divergence form.
Upper and lower bounds for a reactive-diffuse system with Arrhenius kinetics.
Vanishing of solutions of diffusion equation with convection and absorption.