On homogenization of locally periodic elliptic and parabolic operators

DOI10.1134/S0016266320010104zbMath1447.35035OpenAlexW3081956849MaRDI QIDQ2199013

N. N. Senik

Publication date: 16 September 2020

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

Full work available at URL: https://doi.org/10.1134/s0016266320010104

zbMATH Keywords

parabolic systemselliptic systemsoperator error estimateslocally periodic operators

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial-boundary value problems for second-order parabolic systems (35K51) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Homogenization for Locally Periodic Elliptic Problems on a Domain ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ On homogenization for piecewise locally periodic operators ⋮ Homogenization for locally periodic elliptic operators ⋮ Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients

Cites Work

• Homogenization of solutions of initial boundary value problems for parabolic systems
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• On homogenization for non-self-adjoint locally periodic elliptic operators
• Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
• Interior error estimate for periodic homogenization
• Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES

This page was built for publication: On homogenization of locally periodic elliptic and parabolic operators