69 citations · 106 across the 18 of their papers we have counts for
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math.AP2006
The structure of the free boundary for lower dimensional obstacle problems
I. Athanasopoulos, L. A. Caffarelli, S. Salsa
We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a -dimensional surface i…
math.AP2006★ 11 cited
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
L. Caffarelli, A. Vasseur
Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L^2 initial data and minimal assumptions on the drift are locally Hol…