5 citations · 10 across the 4 of their papers we have counts for
4 papers
Unique continuation for fully nonlinear elliptic equations
Scott N. Armstrong, Luis Silvestre
We show that a viscosity solution of a uniformly elliptic, fully nonlinear equation which vanishes on an open set must be identically zero, provided that the equation is .…
On Divergence-free Drifts
Gregory Seregin, Luis Silvestre, Vladimir Sverak +1
We investigate the validity and failure of Liouville theorems and Harnack inequalities for parabolic and elliptic operators with low regularity coefficients. We are particularly in…
Upper bounds for multiphase composites in any dimension
Luis Silvestre
We prove a rigorous upper bound for the effective conductivity of an isotropic composite made of several isotropic components in any dimension. This upper bound coincides with the…
The Evans-Krylov theorem for non local fully non linear equations
Luis Caffarelli, Luis Silvestre
We prove an interior regularity result for solutions of a purely integro-differential Bellman equation. This regularity is enough for the solutions to be understood in the classica…