Stochastic homogenization of \(L^\infty\) variational problems
type: Item
instance of: scholarly article
title: Stochastic homogenization of \(L^\infty\) variational problems
zbMATH Open document ID: 1243.35014
author: Scott N. Armstrong
author: Panagiotis E. Souganidis
published in: Advances in Mathematics
publication date: 2012-04-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1109.2853
review text: By introducing a generalized notion of distance function, the authors perform the homogenization of a class of \(L^\infty\) variational problems posed in a random environment.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 6028996
zbMATH Keywords: \(L^\infty\) calculus of variations
zbMATH Keywords: eikonal equation
MaRDI profile type: Publication
OpenAlex ID: W2964175538
arXiv ID: 1109.2853
cites work: Ergodic theorems for superadditive processes.
cites work: Convexity criteria and uniqueness of absolutely minimizing functions
cites work: An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions
cites work: A finite difference approach to the infinity Laplace equation and tug-of-war games
cites work: Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
cites work: Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
cites work: Extension of functions satisfying Lipschitz conditions
cites work: A tour of the theory of absolutely minimizing functions
cites work: Viscosity solutions of Hamilton-Jacobi equations
cites work: The infinity Laplacian, Aronsson's equation and their generalizations
cites work: The Euler equation and absolute minimizers of \(L^\infty\) functionals
cites work: HOMOGENIZATION OF L∞ FUNCTIONALS
cites work: Q5296446
cites work: Γ-convergence and absolute minimizers for supremal functionals
cites work: Periodic homogenisation of Hamilton–Jacobi equations: 2. Eikonal equations
cites work: Optimal Lipschitz extensions and the infinity Laplacian
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Metric techniques for convex stationary ergodic Hamiltonians
cites work: Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
cites work: Q4844840
cites work: Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
cites work: Uniqueness and nonuniqueness of viscosity solutions to Aronsson's equation
cites work: Q3594212
cites work: Q3721536
cites work: Stochastic homogenization of Hamilon-Jacobi and ``viscous''-Hamilton-Jacobi equations with convex nonlinearities -- revisited
cites work: Tug-of-war and the infinity Laplacian
cites work: Homogenization for stochastic Hamilton-Jacobi equations
cites work: Q3836297
cites work: \(L^\infty\) variational problems and Aronsson equations
DOI: 10.1016/J.AIM.2012.02.018
description: scientific article; zbMATH DE number 6028996