Homogenization of nonlinear equations with mixed boundary conditions

DOI10.1063/1.5093550zbMath1423.35117OpenAlexW2970060407MaRDI QIDQ5234055

Juan Wang, Jie Zhao

Publication date: 9 September 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5093550

zbMATH Keywords

quasilinear equationsDirichlet-Robin boundary condition

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Applications of Fourier analysis in homogenization of Dirichlet problem. III: Polygonal domains
• Boundary estimates in elliptic homogenization
• Boundary homogenization in domains with randomly oscillating boundary
• On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition
• Uniform \(W^{1,p}\) estimates for systems of linear elasticity in a periodic medium
• Homogenization and boundary layers
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• Operator estimates in nonlinear problems of reiterated homogenization
• \(W^{1,p}\) estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains
• Asymptotics of a spectral-sieve problem
• Homogenization of elliptic problems with \(L^p\) boundary data
• Convergence rates in homogenization of higher-order parabolic systems
• Homogenization in perforated domains with mixed conditions
• On the rate of convergence for perforated plates with a small interior Dirichlet zone
• Applications of Fourier analysis in homogenization of Dirichlet problem I. Pointwise estimates
• Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows
• Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics
• Topics on concentration phenomena and problems with multiple scales
• Uniform resolvent convergence for strip with fast oscillating boundary
• On homogenization of problems in domains of the ``Infusorium type
• Quantitative
• Lipschitz Estimates in Almost-Periodic Homogenization
• Planar waveguide with “twisted” boundary conditions: Discrete spectrum
• Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain
• Planar waveguide with “twisted” boundary conditions: Small width
• Convergence rates in periodic homogenization of systems of elasticity
• Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
• On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary
• Homogenization of Stokes Systems and Uniform Regularity Estimates
• Homogenization of the planar waveguide with frequently alternating boundary conditions
• Compactness methods in the theory of homogenization
• Compactness methods in the theory of homogenization II: Equations in non-divergence form
• L^p bounds on singular integrals in homogenization
• Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
• Homogenization of the boundary value for the Neumann problem
• Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
• Homogenization of elliptic systems with Neumann boundary conditions
• Optimal Boundary Estimates for Stokes Systems in Homogenization Theory
• Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
• Periodic Homogenization of Green and Neumann Functions

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