Neumann Homogenization via Integro-Differential Operators. Part 2: Singular Gradient Dependence

DOI10.1137/16M1080860zbMath1407.35021arXiv1512.06027MaRDI QIDQ4609590

Nestor Guillen, Russell W. Schwab

Publication date: 5 April 2018

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

Full work available at URL: https://arxiv.org/abs/1512.06027

zbMATH Keywords

homogenizationDirichlet to Neumannintegro-differential representationnonlocal boundary operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (2)

Min-max formulas for nonlocal elliptic operators on Euclidean space ⋮ Min-max formulas for nonlocal elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Neumann homogenization via integro-differential operators
• Homogenization of Neumann boundary data with fully nonlinear operator
• Corrector theory for elliptic equations in random media with singular Green's function. Application to random boundaries
• Homogenization and boundary layers
• Perron's method for Hamilton-Jacobi equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Elliptic partial differential equations of second order
• Quantitative analysis of boundary layers in periodic homogenization
• Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data
• Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions.
• Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data
• Homogenization of the oscillating Dirichlet boundary condition in general domains
• Multi-dimensional diffusion and the Markov process on the boundary
• Quantitative
• On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions
• Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
• Convergence rates in periodic homogenization of systems of elasticity
• Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions
• Asymptotic and numerical homogenization
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Compactness methods in the theory of homogenization
• Compactness methods in the theory of homogenization II: Equations in non-divergence form
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• Periodic homogenisation of certain fully nonlinear partial differential equations
• User’s guide to viscosity solutions of second order partial differential equations
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS
• Continuity and discontinuity of the boundary layer tail
• Periodic Homogenization for Nonlinear Integro-Differential Equations
• Homogenization of elliptic systems with Neumann boundary conditions
• Periodic Homogenization of Green and Neumann Functions

This page was built for publication: Neumann Homogenization via Integro-Differential Operators. Part 2: Singular Gradient Dependence