77 citations · 190 across the 25 of their papers we have counts for
5 papers · 1 filter
Regularity theory for general stable operators
Xavier Ros-Oton, Joaquim Serra
We establish sharp regularity estimates for solutions to in , being the generator of any stable and symmetric Lévy process. Such nonlocal operators…
Local integration by parts and Pohozaev identities for higher order fractional Laplacians
Xavier Ros-Oton, Joaquim Serra
We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian with . We also obtain the Pohozaev identity for this operato…
regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels
Joaquim Serra
We establish interior estimates for concave nonlocal fully nonlinear equations of order with rough kernels. Namely, we prove that if s…
Boundary regularity for fully nonlinear integro-differential equations
Xavier Ros-Oton, Joaquim Serra
We study fine boundary regularity properties of solutions to fully nonlinear elliptic integro-differential equations of order , with . We consider the class of nonlo…
Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
Joaquim Serra
We prove space and time regularity for solutions of fully nonlinear parabolic integro-differential equations with rough kernels. We consider parabolic equations $u_t = \I u$, where…