各向同性截尾非局部算子的边界正则性
Boundary regularity of an isotropically censored nonlocal operator
摘要:
在有界区域中,我们考虑一个变值域非局部算子,它是极大迷向的,因为它的相互作用半径等于到边界的距离。我们建立了狄利克雷问题的$C^{1,α}$边界正则性和存在性结果.
英文摘要:
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 $C^{1,α}$ boundary regularity and existence results for the Dirichlet problem.
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