Homogenization of hyperbolic equations

DOI10.1007/S10688-016-0162-ZzbMath1370.35037OpenAlexW2564500467MaRDI QIDQ524120

M. A. Dorodnyi, Tatiana Suslina

Publication date: 25 April 2017

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

Full work available at URL: https://doi.org/10.1007/s10688-016-0162-z

zbMATH Keywords

operator error estimatesacoustic problemsrapidly oscillating coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

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 periodic Schrödinger-type equations, with lower order terms ⋮ On operator error estimates for homogenization of hyperbolic systems with periodic coefficients ⋮ Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability ⋮ Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results

Cites Work

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• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients

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