Convergence rates in almost-periodic homogenization of higher-order elliptic systems

DOI10.3233/ASY-201627zbMath1473.35210arXiv1712.01744OpenAlexW3042390182MaRDI QIDQ5000011

Yao Xu, Weisheng Niu

Publication date: 5 July 2021

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

Full work available at URL: https://arxiv.org/abs/1712.01744

zbMATH Keywords

higher-order elliptic systemsquantitative estimatesalmost periodic homogenization

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order elliptic systems (35J48)

Related Items (1)

Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

Cites Work

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• Bounded correctors in almost periodic homogenization
• Uniform boundary regularity in almost-periodic homogenization
• Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems
• Boundary estimates in elliptic homogenization
• Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains
• Uniform boundary estimates in homogenization of higher-order elliptic systems
• Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
• Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media
• Approximate correctors and convergence rates in almost-periodic homogenization
• Convergence rates and interior estimates in homogenization of higher order elliptic systems
• Green's functions for polynomials in the Laplacian
• Rate of convergence for correctors in almost periodic homogenization
• Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
• Estimates in homogenization of higher-order elliptic operators
• Lipschitz Estimates in Almost-Periodic Homogenization
• Convergence rates in periodic homogenization of systems of elasticity
• Operator error estimates for homogenization of fourth order elliptic equations
• ON SECOND-ORDER ALMOST-PERIODIC ELLIPTIC OPERATORS
• Homogenization of high order elliptic operators with periodic coefficients
• ON THE ERROR OF AVERAGING SYMMETRIC ELLIPTIC SYSTEMS
• Compactness methods in the theory of homogenization
• AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
• Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
• Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
• Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients

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