Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel

DOI10.1137/16M1072292zbMath1356.45003arXiv1604.05038OpenAlexW2963265220MaRDI QIDQ2956663

Andrey L. Piatnitski, Elena A. Zhizhina

Publication date: 19 January 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05038

zbMATH Keywords

homogenizationsecond-order elliptic operatornonlocal operatorsjump Markov processessemigroup convergencekernel of convolution type

Mathematics Subject Classification ID

Related Items (26)

Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion ⋮ Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise ⋮ Homogenization of quadratic convolution energies in periodically perforated domains ⋮ Space-charge polarization by confined ion migration in microstructured solid dielectrics ⋮ Effective reduction for a nonlocal Zakai stochastic partial differential equation in data assimilation ⋮ Homogenization of non-local nonlinear p-Laplacian equation with variable index and periodic structure ⋮ On the homogenization of nonlocal convolution type operators ⋮ Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Rates of convergence in periodic homogenization of nonlocal Hamilton–Jacobi–Bellman equations, ⋮ Convergence of nonlinear integrodifferential reaction-diffusion equations via Mosco \(\times \Gamma\)-convergence ⋮ Asymptotic Analysis of a Coupled System of Nonlocal Equations with Oscillatory Coefficients ⋮ Periodic homogenization of a Lévy-type process with small jumps ⋮ The fractional \(p\)-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps ⋮ Nonlocal \(H\)-convergence ⋮ Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems ⋮ \(H\)-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains ⋮ Stochastic homogenization of convolution type operators ⋮ Cauchy problem and periodic homogenization for nonlocal Hamilton–Jacobi equations with coercive gradient terms ⋮ Homogenization of Lévy-type Operators with Oscillating Coefficients ⋮ Periodic homogenization of nonsymmetric Lévy-type processes ⋮ Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media ⋮ Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues ⋮ Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps ⋮ $H$-Convergence Result for Nonlocal Elliptic-Type Problems via Tartar's Method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A quasispecies continuous contact model in a critical regime
• Unbounded solutions of the nonlocal heat equation
• Homogenization of periodic diffusion with small jumps
• Scaling limits for symmetric Itô-Lévy processes in random medium
• A functional non-central limit theorem for jump-diffusions with periodic coefficients driven by stable Lévy-noise
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• Asymptotic behavior for nonlocal diffusion equations
• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
• Homogenization of a Class of Integro-Differential Equations with Lévy Operators
• Periodic Homogenization for Nonlinear Integro-Differential Equations
• On ground state of some non local Schrödinger operators

This page was built for publication: Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel