Sharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains
Date
2018-09-12
Authors
Yildirim, Selma
Yolcu, Turkay
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the eigenvalues of the Dirichlet fractional Laplacian operator (-∆)α/2, 0 < α < 1, restricted to a bounded planar domain Ω ⊂ ℝ2. 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 in a more general setting.
Description
Keywords
Fractional Laplacian, Stable processes, Eigenvalue
Citation
Yildirim, S., & Yolcu, T. (2018). Sharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains. <i>Electronic Journal of Differential Equations, 2018</i>(165), pp. 1-14.
Rights
Attribution 4.0 International