Bounded correctors in almost periodic homogenization

DOI10.1007/s00205-016-1004-0zbMath1355.35011arXiv1509.08390OpenAlexW3100108683MaRDI QIDQ303711

Tuomo Kuusi, Scott N. Armstrong, Antoine Gloria

Publication date: 22 August 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08390

zbMATH Keywords

almost periodic coefficientshomogenization asymptoticslinear elliptic equationsquantitative ergodic theorem

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Almost and pseudo-almost periodic solutions to PDEs (35B15) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (16)

Uniform boundary regularity in almost-periodic homogenization ⋮ A continuous family of equilibria in ferromagnetic media are ground states ⋮ Quantitative analysis of boundary layers in periodic homogenization ⋮ Approximate correctors and convergence rates in almost-periodic homogenization ⋮ Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory ⋮ Space-time homogenization for nonlinear diffusion ⋮ Compactness and stable regularity in multiscale homogenization ⋮ Regularity theory of elliptic systems in \(\varepsilon\)-scale flat domains ⋮ Improved regularity in bumpy Lipschitz domains ⋮ On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit ⋮ Convergence Rates for General Elliptic Homogenization Problems in Lipschitz Domains ⋮ Convergence rates in almost-periodic homogenization of higher-order elliptic systems ⋮ Corrector results for space-time homogenization of nonlinear diffusion ⋮ The additive structure of elliptic homogenization

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