Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results

DOI10.1080/00036811.2021.1901886zbMath1498.35029arXiv2005.06516OpenAlexW3139309046MaRDI QIDQ5037933

M. A. Dorodnyi

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06516

zbMATH Keywords

homogenizationeffective operatoroperator error estimatesperiodic differential operatorsnonstationary Schrödinger-type equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Homogenization of hyperbolic equations: operator estimates with correctors taken into account ⋮ High-energy homogenization of a multidimensional nonstationary Schrödinger equation ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients ⋮ Homogenization of the higher-order Schrödinger-type equations with periodic coefficients

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