Weighted \(L^2\) Estimates for elliptic homogenization in Lipschitz domains
From MaRDI portal
Publication:2091066
DOI10.1007/s12220-022-01064-1zbMath1503.35024arXiv2004.03087OpenAlexW4307647947MaRDI QIDQ2091066
Publication date: 31 October 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03087
Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Harmonic analysis and PDEs (42B37) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries, Uniform estimates for systems of elasticity in homogenization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary estimates in elliptic homogenization
- Uniform \(W^{1,p}\) estimates for systems of linear elasticity in a periodic medium
- Convergence rates in \(L ^{2}\) for elliptic homogenization problems
- Periodic homogenization of elliptic systems
- \(W^{1,p}\) estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Calderón-Zygmund estimates for stochastic homogenization
- A geometric approach to the Calderón-Zygmund estimates
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains
- The \(L^{p}\) boundary value problems on Lipschitz domains
- A higher-order large-scale regularity theory for random elliptic operators
- Elliptic equations with BMO coefficients in Reifenberg domains
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- W$^{1,p}$ estimates for elliptic homogenization problems in nonsmooth domains
- The local regularity of solutions of degenerate elliptic equations
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
- Boundary Layers in Periodic Homogenization of Neumann Problems
- Quantitative Stochastic Homogenization and Large-Scale Regularity