Localization for random perturbations of anisotropic periodic media

DOI10.1007/BF02764006zbMath0918.35042MaRDI QIDQ1275685

K. Appert

Publication date: 13 January 1999

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

zbMATH Keywords

random perturbations of periodic divergence from operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) PDEs with randomness, stochastic partial differential equations (35R60)

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Spectral analysis of selfadjoint Jacobi matrices with periodically modulated entries ⋮ Unique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operators ⋮ Wegner estimate for random divergence-type operators monotone in the randomness ⋮ Unnamed Item ⋮ 2-dimensional localization of acoustic waves in random perturbation of periodic media ⋮ Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions ⋮ Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian
• Localization of classical waves. I: Acoustic waves
• Wegner estimates and Anderson localization for alloy-type potentials
• Localization for random perturbations of periodic Schrödinger operators
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