Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian
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Publication:484436
DOI10.3934/dcds.2015.35.2209zbMathNoneOpenAlexW2335250686MaRDI QIDQ484436
Selma Yildrim Yolcu, Türkay Yolcu
Publication date: 7 January 2015
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2209
eigenvalueinequalityestimatestable processnon-local operatorfractional LaplacianBerezin-Li-YauKlein-Gordon
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Stable stochastic processes (60G52)
Related Items (3)
Eigenvalue bounds for the poly-harmonic operators ⋮ On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian
Cites Work
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- Refined semiclassical asymptotics for fractional powers of the Laplace operator
- Morrey spaces in harmonic analysis
- Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds
- On the Schrödinger equation and the eigenvalue problem
- The asymptotic distribution of the eigenvalues for a class of Markov operators
- Potential analysis of stable processes and its extensions. With some of the papers based on the presentations at the workshop on stochastic and harmonic analysis of processes with jumps, Angers, France, May 2--9, 2006.
- Eigenvalue bounds for the poly-harmonic operators
- Lower bounds for the spectrum of the Laplace and Stokes operators
- Eigenvalue inequalities for Klein-Gordon operators
- Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
- On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions
- Geometrical versions of improved Berezin-Li-Yau inequalities
- Two-sided eigenvalue estimates for subordinate processes in domains
- ESTIMATES FOR THE SUMS OF EIGENVALUES OF THE FRACTIONAL LAPLACIAN ON A BOUNDED DOMAIN
- Refined bounds for the eigenvalues of the Klein-Gordon operator
- Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators
- From the long jump random walk to the fractional Laplacian
- Analysis of models for quantum transport of electrons in graphene layers
- Universal Bounds and Semiclassical Estimates for Eigenvalues of Abstract Schrödinger Operators
- An improvement to a Berezin-Li-Yau type inequality
- On Riesz Means of Eigenvalues
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Nonlocal minimal surfaces
- Improved Berezin-Li-Yau inequalities with a remainder term
- On trace identities and universal eigenvalue estimates for some partial differential operators
- A lower bound for sums of eigenvalues of the Laplacian
- Heat trace of non-local operators
- Sharp Semiclassical Bounds for the Moments of Eigenvalues for Some Schrödinger Type Operators with Unbounded Potentials
- Estimates on the eigenvalues of the clamped plate problem on domains in Euclidean spaces
- COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
- Two-dimensional Berezin-Li-Yau inequalities with a correction term
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