Spectral results for mixed problems and fractional elliptic operators

DOI10.1016/j.jmaa.2014.07.081zbMath1302.35279arXiv1407.0932OpenAlexW2045590255MaRDI QIDQ743226

Gerd Grubb

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0932

zbMATH Keywords

Dirichlet-to-Neumann operatorDirichlet fractional Laplacianeigenfunction regularityKrein resolvent formulaWeyl asymptotic formula

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractional partial differential equations (35R11)

Related Items (18)

Boundary regularity for a degenerate elliptic equation with mixed boundary conditions ⋮ Numerical methods for nonlocal and fractional models ⋮ Finite element approximation for the fractional eigenvalue problem ⋮ On fractional higher-order Dirichlet boundary value problems: Between the Laplacian and the bilaplacian ⋮ Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation ⋮ Numerical methods for fractional diffusion ⋮ Limited regularity of solutions to fractional heat and Schrödinger equations ⋮ Resolvents for fractional-order operators with nonhomogeneous local boundary conditions ⋮ Local integration by parts and Pohozaev identities for higher order fractional Laplacians ⋮ Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain ⋮ Neumann conditions for the higher order \(s\)-fractional Laplacian \(( - \varDelta)^s u\) with \(s > 1\) ⋮ On the loss of maximum principles for higher-order fractional Laplacians ⋮ Optimal operator preconditioning for pseudodifferential boundary problems ⋮ Numerical approximations for a fully fractional Allen–Cahn equation ⋮ Spectral asymptotics for fractional Laplacians ⋮ Singular solutions for fractional parabolic boundary value problems ⋮ Finite element approximations for fractional evolution problems ⋮ Boundary regularity for the fractional heat equation

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