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arXiv · 2303.07481

Boundary regularity of an isotropically censored nonlocal operator

Hardy Chan
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Abstract

In a bounded domain, we consider a variable range nonlocal operator, which is maximally isotropic in the sense that its radius of interaction equals the distance to the boundary. We establish $C^{1,\alpha}$ boundary regularity and existence results for the Dirichlet problem.

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Hardy Chan. 2023-03-13. Boundary regularity of an isotropically censored nonlocal operator. https://arxiv.org/abs/2303.07481

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