论文标题

下属光谱laplacian的半线性差异问题

Semilinear Dirichlet problem for subordinate spectral Laplacian

论文作者

Biocic, Ivan

论文摘要

我们研究有边界条件的非本地运算符的有限$ C^{1,1} $域中的半线性问题。操作员覆盖并扩展了光谱分数laplacian的情况。我们还研究了有关绿色和泊松电位的非本地算子和边界行为的谐波功能。

We study semilinear problems in bounded $C^{1,1}$ domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian. We also study harmonic functions with respect to the non-local operator and boundary behaviour of Green and Poisson potentials.

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