Homogenization of elliptic equations with singular perturbations in perforated domains

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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Periodic homogenization of elliptic systems
On operator estimates for some problems in homogenization theory
Non-homogeneous media and vibration theory
Compactness and large-scale regularity for Darcy's law
Homogenization of Stokes equations in perforated domains: a unified approach
Homogenization estimates for singularly perturbed operators
Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes
Uniform estimates for Stokes equations in a domain with a small hole and applications in homogenization problems
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Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
Homogenization in perforated domains and interior Lipschitz estimates
Homogenization and singular perturbation in porous media
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Homogenization of singularly perturbed Dirichlet problems in perforated domains
A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains
Combined effects of homogenization and singular perturbations: Quantitative estimates
On resolvent approximations of elliptic differential operators with periodic coefficients
Convergence rate in homogenization of elliptic systems with singular perturbations
Sharp convergence rates for Darcy’s law
Random homogenization and singular perturbations in perforated domains
Uniform \(W^{1,p}\) estimates and large-scale regularity for Dirichlet problems in perforated domains
Uniform estimates for Dirichlet problems in perforated domains

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