The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles

DOI10.1007/s11856-009-0009-xzbMath1172.35044OpenAlexW1970910620MaRDI QIDQ1001446

Iddo Ben-Ari

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0009-x

zbMATH Keywords

principal eigenvalueelliptic operatorsasymptotic formulasobstacle type perturbations

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05)

Related Items (2)

Eigenvalue Fluctuations for Lattice Anderson Hamiltonians ⋮ Brownian survival and Lifshitz tail in perturbed lattice disorder

Cites Work

• Unnamed Item
• Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• Spectra of random media with many randomly distributed obstacles
• Asymptotics of the principal eigenvalue and expected hitting time for positive recurrent elliptic operators in a domain with a small puncture
• Approximation of Dirichlet eigenvalues on domains with small holes

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