Spectral approach to homogenization of nonstationary Schrödinger-type equations

DOI10.1016/J.JMAA.2016.09.037zbMath1353.35045OpenAlexW2525249663MaRDI QIDQ333885

Tatiana Suslina

Publication date: 31 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.037

zbMATH Keywords

Floquet-Bloch theoryeffective operatoroperator error estimatesperiodic differential operatorssingular rapidly oscillating potentialstwo-dimensional Pauli equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (19)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results ⋮ Uniform boundary controllability and homogenization of wave equations ⋮ 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 error estimates for homogenization of hyperbolic equations ⋮ Homogenization of a nonstationary model equation of electrodynamics ⋮ Homogenization of the Schrödinger-type equations: operator estimates with correctors ⋮ Spectral approach to homogenization of hyperbolic equations with periodic coefficients ⋮ Homogenization of periodic Schrödinger-type equations, with lower order terms ⋮ Homogenization of Schrödinger-type equations ⋮ On operator error estimates for homogenization of hyperbolic systems with periodic coefficients ⋮ Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations ⋮ Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients ⋮ Homogenization for the cubic nonlinear Schrödinger equation on R2 ⋮ Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability ⋮ Homogenization of the higher-order Schrödinger-type equations with periodic coefficients ⋮ Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results

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