On operator estimates in homogenization of nonlocal operators of convolution type

DOI10.1016/j.jde.2022.12.036OpenAlexW4320473677MaRDI QIDQ2686119

V. A. Sloushch, Andrey L. Piatnitski, Elena A. Zhizhina, Tatiana Suslina

Publication date: 24 February 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.13771

zbMATH Keywords

periodic homogenizationconvolution-type operatoreffective operatoroperator estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

On the homogenization of nonlocal convolution type operators ⋮ High-energy homogenization of a multidimensional nonstationary Schrödinger equation

Cites Work

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• On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition
• A quasispecies continuous contact model in a critical regime
• Spectral approach to homogenization of nonstationary Schrödinger-type equations
• Convergence rates in parabolic homogenization with time-dependent periodic coefficients
• Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model
• An optimal variance estimate in stochastic homogenization of discrete elliptic equations
• Homogenization of elliptic eigenvalue problems. I
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• On operator estimates for some problems in homogenization theory
• Estimates of homogenization for a parabolic equation with periodic coefficients
• Homogenization of periodic diffusion with small jumps
• Estimates of locally periodic and reiterated homogenization for parabolic equations
• Homogenization of elliptic eigenvalue problems. II
• Averaging an elliptic boundary-value problem with random coefficients
• Homogenization of eigenvalue problems in perforated domains
• Quantitative results on the corrector equation in stochastic homogenization
• On homogenization for non-self-adjoint locally periodic elliptic operators
• Spectral approach to homogenization of hyperbolic equations with periodic coefficients
• Interior error estimate for periodic homogenization
• Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability
• Periodic homogenization of nonsymmetric Lévy-type processes
• Homogenization of the higher-order hyperbolic equations with periodic coefficients
• Homogenization of quadratic convolution energies in periodically perforated domains
• Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I
• On homogenization of locally periodic elliptic and parabolic operators
• Homogenization for locally periodic elliptic operators
• On operator error estimates for homogenization of hyperbolic systems with periodic coefficients
• Stochastic homogenization of convolution type operators
• Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain
• Operator estimates in reiterated and locally periodic homogenization
• Uniform resolvent convergence for strip with fast oscillating boundary
• On operator estimates in homogenization theory
• On homogenization of periodic parabolic systems
• Convergence rates in homogenization of Stokes systems
• Homogenization of the fourth-order elliptic operator with periodic coefficients with correctors taken into account
• Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
• Operator estimates in homogenization theory
• Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain
• Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
• Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
• Homogenization with corrector for a stationary periodic Maxwell system
• Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients
• Operator error estimates in the homogenization problem for nonstationary periodic equations
• Homogenization of periodic differential operators of high order
• Homogenization of high order elliptic operators with periodic coefficients
• Homogenization of a stationary periodic Maxwell system
• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
• Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev SpaceH¹(ℝ^d)
• A periodic parabolic Cauchy problem: Homogenization with corrector
• Homogenization with corrector term for periodic elliptic differential operators
• Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
• Homogenization of higher-order parabolic systems in a bounded domain
• Error estimate and unfolding for periodic homogenization
• Second order periodic differential operators. Threshold properties and homogenization
• Homogenization of random convolution energies
• Homogenization of hyperbolic equations with periodic coefficients in ℝ^{𝕕}: Sharpness of the results
• Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results
• Homogenization of biased convolution type operators
• Periodic Homogenization for Nonlinear Integro-Differential Equations
• On ground state of some non local Schrödinger operators
• HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
• Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
• Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
• Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability
• Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients
• Approximation of resolvents in homogenization of fourth-order elliptic operators
• Resolvent estimates for high-contrast elliptic problems with periodic coefficients

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