Sharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains

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dc.contributor.authorYildirim, Selma
dc.contributor.authorYolcu, Turkay
dc.date.accessioned2022-03-07T21:54:10Z
dc.date.available2022-03-07T21:54:10Z
dc.date.issued2018-09-12
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYildirim, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15459
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional Laplacian
dc.subjectStable processes
dc.subjectEigenvalue
dc.titleSharper estimates for the eigenvalues of the Dirichlet fractional Laplacian on planar domains
dc.typeArticle

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