19 citations · 27 across the 5 of their papers we have counts for
5 papers
$C^{\s+\a}$ estimates for concave, non-local parabolic equations with critical drift
Hector Chang Lara, Gonzalo Davila
Given a concave integro-differential operator , we study regularity for solutions of fully nonlinear, nonlocal, parabolic, concave equations of the form . The kernels…
Free boundary on a cone
Mark Allen, Hector Chang Lara
We study two phase problems posed over a two dimensional cone generated by a smooth curve on the unit sphere. We show that when the free boundary avoids the vert…
Regularity for solutions of non local parabolic equations II
Hector A. Chang Lara, Gonzalo Davila
We prove boundary regularity and a compactness result for parabolic nonlocal equations of the form , where the operator is not necessarily translation invariant. As a…
Regularity for fully non linear equations with non local drift
Hector A. Chang Lara
We prove Holder regularity for solutions of non divergence integro-differential equations with non necessarily even kernels. The even/odd decomposition of the kernel can be underst…
Regularity for solutions of non local, non symmetric equations
Hector Chang Lara, Gonzalo Davila
We study the regularity for solutions of fully nonlinear integro differential equations with respect to nonsymmetric kernels. More precisely, we assume that our operator is ellipti…