Threshold approximations for the resolvent of a polynomial nonnegative operator pencil

DOI10.1090/spmj/1704OpenAlexW4214868941WikidataQ114093812 ScholiaQ114093812MaRDI QIDQ5064496

Tatiana Suslina, V. A. Sloushch

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1090/spmj/1704

zbMATH Keywords

homogenization theorycorrectorsanalytic perturbation theorypolynomial operator pencilsthreshold approximations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ On operator estimates of the homogenization of higher-order elliptic systems ⋮ Improved resolvent 𝐿²-approximations in homogenization of fourth order operators ⋮ Homogenization of the higher-order parabolic equations with periodic coefficients ⋮ Homogenization of the higher-order Schrödinger-type equations with periodic coefficients

Cites Work

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• Homogenization of the fourth-order elliptic operator with periodic coefficients with correctors taken into account
• Homogenization of periodic differential operators of high order
• Homogenization of high order elliptic operators with periodic coefficients
• Homogenization with corrector term for periodic elliptic differential operators
• Second order periodic differential operators. Threshold properties and homogenization
• Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
• Threshold approximations with corrector for the resolvent of a factorized selfadjoint operator family

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