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math.AP2017
Local elliptic regularity for the Dirichlet fractional Laplacian
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We analyze the local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set $Ω\subset\mat…
math.AP2017
Local regularity for fractional heat equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbit…