Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

We prove the Wloc2⁢s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing carefully the elliptic equation satisfied by...

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Bibliographic Details
Main Authors: Biccari Umberto, Warma Mahamadi, Zuazua Enrique
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Advanced Nonlinear Studies
Subjects:
fractional laplacian
dirichlet boundary condition
weak solutions
local regularity
35b65
35r11
35s05
Online Access:https://doi.org/10.1515/ans-2017-0014

Internet

https://doi.org/10.1515/ans-2017-0014

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