Spectral stability results for higher-order operators under perturbations of the domain

DOI10.1016/j.crma.2013.10.001zbMath1291.35140OpenAlexW2074990580MaRDI QIDQ387747

José M. Arrieta, Pier Domenico Lamberti

Publication date: 17 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.10.001

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Variational methods for higher-order elliptic equations (35J35)

Related Items (6)

Spectral stability results for higher-order operators under perturbations of the domain ⋮ Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains ⋮ Spectral stability for a class of fourth order Steklov problems under domain perturbations ⋮ Semiclassical bounds for spectra of biharmonic operators ⋮ Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems ⋮ On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems

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