Spectral stability estimates for the eigenfunctions of second order elliptic operators

DOI10.1002/mana.201100250zbMath1268.47054OpenAlexW2155407318MaRDI QIDQ2909654

Ermal Feleqi, Victor I. Burenkov

Publication date: 6 September 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100250

zbMATH Keywords

Dirichlet boundary conditionselliptic operatorsgap between linear operatorsperturbation of an open setstability estimates for the eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (3)

Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation ⋮ On differentiability of eigenvalues of second order elliptic operators on non-smooth domains ⋮ Sharp bounds for domain perturbations of Dirichlet Laplacians defined on smooth domains

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• Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains
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