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math.AP2013
Regularity for anisotropic fully nonlinear integro-differential equations
Luis A. Caffarelli, Raimundo Leitão, José Miguel Urbano
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP est…
math.AP2013
A geometric tangential approach to sharp regularity for degenerate evolution equations
Eduardo V. Teixeira, José Miguel Urbano
That the weak solutions of degenerate parabolic pdes modelled on the inhomogeneous Laplace equation $$ u_t - \mathrm{div} \left(|\nabla u|^{p-2} \nabla u \right) = f \in L^{q,r…