Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family

DOI10.1090/S1061-0022-06-00927-7zbMath1121.47031OpenAlexW1512022456MaRDI QIDQ5485838

Tatiana Suslina, Mikhail Sh. Birman

Publication date: 4 September 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00927-7

zbMATH Keywords

homogenizationfactorizationcorrectorthreshold approximation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (15)

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results ⋮ Homogenization of high order elliptic operators with periodic coefficients ⋮ Threshold approximations for the resolvent of a polynomial nonnegative operator pencil ⋮ Spectral approach to homogenization of nonstationary Schrödinger-type equations ⋮ Homogenization of the higher-order parabolic equations with periodic coefficients ⋮ Spectral approach to homogenization of hyperbolic equations with periodic coefficients ⋮ Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space ⋮ Homogenization of periodic Schrödinger-type equations, with lower order terms ⋮ Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account ⋮ Homogenization of the stationary periodic Maxwell system in the case of constant permeability ⋮ Spectral approach to homogenization of an elliptic operator periodic in some directions ⋮ On operator error estimates for homogenization of hyperbolic systems with periodic coefficients ⋮ Homogenization with corrector term for periodic elliptic differential operators ⋮ Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results ⋮ Homogenization of elliptic systems with periodic coefficients: operator error estimates in $L_2(\mathbb {R}^d)$ with corrector taken into account

Cites Work

• Perturbation theory for linear operators.

This page was built for publication: Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family