A refined convergence result in homogenization of second order parabolic systems

DOI10.1016/j.jde.2018.12.033zbMath1415.35027OpenAlexW2910753439MaRDI QIDQ1733230

Weisheng Niu, Yao Xu

Publication date: 21 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.033

zbMATH Keywords

convergence ratesperiodic homogenizationtime-dependent parabolic systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Reiterated homogenization of parabolic systems with several spatial and temporal scales, Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure, Convergence rates in homogenization of parabolic systems with locally periodic coefficients, Homogenization of parabolic equations with non-self-similar scales

Cites Work

• Unnamed Item
• Unnamed Item
• Estimates of eigenvalues and eigenfunctions in periodic homogenization
• Homogenization of the parabolic Cauchy problem in the Sobolev class \(H^1(\mathbb R^d)\)
• Homogenization of solutions of initial boundary value problems for parabolic systems
• Convergence rates in parabolic homogenization with time-dependent periodic coefficients
• Boundary estimates in elliptic homogenization
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• Periodic homogenization of elliptic systems
• Estimates of homogenization for a parabolic equation with periodic coefficients
• Quantitative stochastic homogenization and regularity theory of parabolic equations
• Convergence rates in homogenization of higher-order parabolic systems
• Convergence rates and interior estimates in homogenization of higher order elliptic systems
• Interior error estimate for periodic homogenization
• Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
• Convergence Rates for General Elliptic Homogenization Problems in Lipschitz Domains
• Uniform regularity estimates in parabolic homogenization
• Convergence rates in periodic homogenization of systems of elasticity
• Homogenization of Stokes Systems and Uniform Regularity Estimates
• Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
• The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Error estimate and unfolding for periodic homogenization
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
• Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
• Periodic Homogenization of Green and Neumann Functions