Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations

DOI10.1137/17M1144428zbMath1406.35029arXiv1707.00553WikidataQ129192892 ScholiaQ129192892MaRDI QIDQ4685019

Claudio Marchi, Paola Mannucci, Nicolas Dirr, Federica Dragoni

Publication date: 4 October 2018

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

Full work available at URL: https://arxiv.org/abs/1707.00553

zbMATH Keywords

Heisenberg groupCarnot groupsHörmander conditionanisotropic functionals

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Hamilton-Jacobi equations (35F21)

Related Items (5)

Homogenization for sub-riemannian Lagrangians ⋮ \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals ⋮ Ergodic mean field games with Hörmander diffusions ⋮ Unnamed Item ⋮ Stochastic homogenization of deterministic control problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of sets with constant horizontal normal in the Engel group
• Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
• Periodic homogenization under a hypoellipticity condition
• Convexity and semiconvexity along vector fields
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Stochastic homogenization of Hamilon-Jacobi and ``viscous-Hamilton-Jacobi equations with convex nonlinearities -- revisited
• Two-scale homogenization in the Heisenberg group
• Homogenization of Hamilton-Jacobi equations in the Heisenberg group
• Homogenization for stochastic Hamilton-Jacobi equations
• Stochastic homogenization of interfaces moving with changing sign velocity
• Metric Hopf-Lax formula with semicontinuous data
• Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations
• The Hopf-Lax formula in Carnot groups: a control theoretic approach
• Multiscale problems and homogenization for second-order Hamilton-Jacobi equations
• Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
• Homogenization and Enhancement of theG-Equation in Random Environments
• Mixing actions of the Heisenberg group
• A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP
• Multidimensional Stochastic Processes as Rough Paths
• Stochastic homogenization of Hamilton-Jacobi-Bellman equations
• Homogenization of Hamilton-Jacobi equations in Carnot Groups
• Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Ergodic theorems for superadditive processes.
• A class of homogenization problems in the calculus of variations
• Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media
• Subelliptic Hamilton-Jacobi equations: the coercive evolution case
• Quantitative Stochastic Homogenization of Viscous Hamilton-Jacobi Equations
• Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations
• Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample
• Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations
• Homogenization and Convergence of Correctors in Carnot Groups

This page was built for publication: Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations