Homogenization of Schrödinger-type equations

DOI10.1007/S10688-016-0154-ZzbMath1370.47070OpenAlexW2522802832MaRDI QIDQ508823

Tatiana Suslina

Publication date: 8 February 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0154-z

zbMATH Keywords

homogenizationoperator error estimatesperiodic differential operatorsSchrödinger-type equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Homogenization of the Cauchy Problem for the Wave Equation with Rapidly Varying Coefficients and Initial Conditions ⋮ Asymptotics of the Cauchy problem for the one-dimensional Schrödinger equation with rapidly oscillating initial data and small addition to the smooth potential ⋮ Operator error estimates for homogenization of hyperbolic equations ⋮ Homogenization of a nonstationary model equation of electrodynamics ⋮ Spectral approach to homogenization of hyperbolic equations with periodic coefficients ⋮ Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability

Cites Work

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• Spectral approach to homogenization of nonstationary Schrödinger-type equations
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH¹(ℝ^d)

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