245 citations
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math.AP2009★ 1 cited
Nonlocal minimal surfaces
L. A. Caffarelli, J. -M. Roquejoffre, O. Savin
The de Giorgi theory for minimal surfaces consists in studying sets whose indicator function is a (local) minimum of the BV norm. In this paper we replace the BV norm by the …
math.AP2009★ 1 cited
Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer
Thierry Gallay, Violaine Roussier-Michon
The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In th…
math.AP2007★ 1 cited
Semi-classical calculus on manifolds with ends and weighted Lp estimates
Jean-Marc Bouclet
For a class of non compact Riemannian manifolds with ends, we give pseudo-differential expansions of bounded functions of the semi-classical Laplacian and study related Lp boundedn…