Regularity of elliptic systems in divergence form with directional homogenization

DOI10.3934/dcds.2018004zbMath1378.35021OpenAlexW2757910772MaRDI QIDQ2409068

Dongsheng Li, Lihe Wang, Rong Dong

Publication date: 10 October 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018004

zbMATH Keywords

uniform interior \(C^{1,\gamma}\) estimatesuniform interior \(W^{1,p}\) estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Uniform \(C^{1,1}\) estimates of homogenization of elliptic equations in non-divergence form with Dini conditions ⋮ Compactness and stable regularity in multiscale homogenization ⋮ Periodic homogenization of elliptic systems with stratified structure ⋮ Uniform Lipschitz estimates of homogenization of elliptic systems in divergence form with Dini conditions ⋮ Gradient estimates for directional homogenization of elliptic systems ⋮ Directional homogenization of elliptic equations in non-divergence form ⋮ A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains

Cites Work

• Unnamed Item
• Partial Schauder estimates for second-order elliptic and parabolic equations
• Band gap of the spectrum in periodically curved quantum waveguides
• Smoothness of linear laminates
• Gradient estimates for parabolic and elliptic systems from linear laminates
• Spectral approach to homogenization of an elliptic operator periodic in some directions
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Compactness methods in the theory of homogenization
• L^p bounds on singular integrals in homogenization
• Estimates for elliptic systems from composite material
• On homogenization for a periodic elliptic operator in a strip
• Homogenization of elliptic systems with Neumann boundary conditions
• On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential.

This page was built for publication: Regularity of elliptic systems in divergence form with directional homogenization