Regularity of a transmission problem and periodic homogenization
From MaRDI portal
Publication:1983081
DOI10.1016/j.matpur.2021.07.003zbMath1473.35089arXiv2008.06797OpenAlexW3185176922MaRDI QIDQ1983081
Publication date: 15 September 2021
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06797
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) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Gradient Estimates for Stokes and Navier--Stokes Systems with Piecewise DMO Coefficients, Darcy's law for porous media with multiple microstructures, Stochastic Homogenization and Geometric Singularities: A Study on Corners, Optimal regularity for variational solutions of free transmission problems
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary estimates in elliptic homogenization
- Periodic homogenization of elliptic systems
- Su un probleme relativo alle equazioni di tipo ellittico del secondo ordine
- Sul problema di M. Picone relativo all'equilibrio di un corpo elastico incastrato
- On operator estimates for some problems in homogenization theory
- Boundary value problems for the systems of elastostatics in Lipschitz domains
- Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Interior error estimate for periodic homogenization
- Transmission problems and spectral theory for singular integral operators on Lipschitz domains
- Quantitative estimates in reiterated homogenization
- Gradient estimates for parabolic and elliptic systems from linear laminates
- Homogenization of parabolic equations with non-self-similar scales
- Sharp regularity for elliptic systems associated with transmission problems
- Variable coefficient transmission problems and singular integral operators on non-smooth manifolds
- Regularity for \(C^{1, \alpha}\) interface transmission problems
- Quantitative
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- Convergence rates in periodic homogenization of systems of elasticity
- Local Profiles for Elliptic Problems at Different Scales: Defects in, and Interfaces between Periodic Structures
- On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
- Regularity Properties of Solutions to Transmission Problems
- Estimates for elliptic systems from composite material
- Quantitative Homogenization for the Case of an Interface Between Two Heterogeneous Media
- Some quantitative homogenization results in a simple case of interface
- Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material
- HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
- Quantitative Stochastic Homogenization and Large-Scale Regularity
