SHARPER ESTIMATES FOR THE EIGENVALUES OF THE DIRICHLET FRACTIONAL LAPLACIAN ON PLANAR DOMAINS

被引：0

作者：

Yildirim, Selma ^{[1
]}

Yolcu, Turkay ^{[2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Bradley Univ, Dept Math, Peoria, IL 61625 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Fractional Laplacian; stable processes; eigenvalue; LI-YAU INEQUALITIES; NONLOCAL OPERATORS; EQUATIONS; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the eigenvalues of the Dirichlet fractional Laplacian operator (-Delta)(alpha/2), 0 < alpha < 1, restricted to a bounded planar domain Omega subset of R-2. We establish new sharper lower bounds in the sense of the Weyl law for the of sums of eigenvalues, which advance the recent results obtained in several articles even in a more general setting.

引用

页数：14

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