Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results

DOI10.1090/SPMJ/1664zbMath1471.35023arXiv2007.13177OpenAlexW3182534730WikidataQ115545834 ScholiaQ115545834MaRDI QIDQ5009095

M. A. Dorodnyi, Tatiana Suslina

Publication date: 19 August 2021

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

Full work available at URL: https://arxiv.org/abs/2007.13177

zbMATH Keywords

operator error estimatesperiodic differential operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Initial value problems for second-order hyperbolic equations (35L15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (6)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ High-energy homogenization of a multidimensional nonstationary Schrödinger equation ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Homogenization for operators with arbitrary perturbations in coefficients ⋮ Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients ⋮ Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability

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