11 citations · 16 across the 5 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.AP2007
Random Homogenization of Fractional Obstacle Problems
L. A. Caffarelli, A. Mellet
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domain…
math.AP2007★ 1 cited
Random homogenization of an obstacle problem
Luis A. Caffarelli, Antoine Mellet
We study the homogenization of an obstacle problem in a perforated domain. The holes are periodically distributed but have random size and shape. The capacity of the holes is assum…
math.AP2007★ 1 cited
A counterexample to regularity for parabolic fully nonlinear equations
Luis A. Caffarelli, Ulisse Stefanelli
We address the self-similar solvability of a singular parabolic problem and show that solutions to parabolic fully nonlinear equations are not expected to be .