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math.AP2011
Persistence of Hölder continuity for non-local integro-differential equations
Kyudong Choi
In this paper, we consider non-local integro-differential equations under certain natural assumptions on the kernel, and obtain persistence of Hölder continuity for their solutions…
math.AP2011
Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations
Kyudong Choi, Alexis F. Vasseur
We study weak solutions of the 3D Navier-Stokes equations in whole space with initial data. It will be proved that is locally integrable in space-time for any re…