Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons
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Date
2022
Publication Type
Journal Article
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yes
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Abstract
We prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian in polygons with analytic right-hand side. We localize the problem through the Caffarelli-Silvestre extension and study the tangential differentiability of the extended solutions, followed by bootstrapping based on Caccioppoli inequalities on dyadic decompositions of vertex, edge, and vertex-edge neighborhoods.
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published
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Journal / series
Volume
54 (6)
Pages / Article No.
6323 - 6357
Publisher
SIAM
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Subject
Fractional Laplacian; Analytic regularity; Corner domains; Weighted Sobolev spaces
Organisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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