7 citations · 13 across the 5 of their papers we have counts for
7 papers
Interior regularity for fractional systems
Luis Caffarelli, Gonzalo Davila
We study the regularity of solutions of elliptic fractional systems of order 2s, , where the right hand side f depends on a nonlocal gradient and has the same scaling…
Dynamics of Optimal Partial Transport
Gonzalo Davila, Young-Heon Kim
This paper considers the evolution dynamics of the free boundaries in terms of the change of , the allowed amount of transported mass or the change of , the transportation co…
$C^{\s+\a}$ 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…
Hölder estimates for non-local parabolic equations with critical drift
Hector Chang-Lara, Gonzalo Davila
In this paper we extend previous results on the regularity of solutions of integro-differential parabolic equations. The kernels are non necessarily symmetric which could be interp…
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 solutions of non local parabolic equations
Héctor A. Chang Lara, Gonzalo Dávila
We study the regularity of solutions of parabolic fully nonlinear nonlocal equations. We proof Holder regularity in space and time and for translation invariant equations and under…
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…