Homogenization of Hamilton-Jacobi equations in the Heisenberg group

DOI10.3934/CPAA.2003.2.461zbMath1043.35025OpenAlexW1969467606MaRDI QIDQ1423931

Isabeau Birindelli, J. Wigniolle

Publication date: 7 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.461

zbMATH Keywords

viscosity solutionsperiodic homogenizationfast oscillating Hamiltonians

Mathematics Subject Classification ID

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) Subelliptic equations (35H20)

Related Items (12)

Homogenization for sub-riemannian Lagrangians ⋮ Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group ⋮ On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems ⋮ Periodic homogenization under a hypoellipticity condition ⋮ Multiscale problems and homogenization for second-order Hamilton-Jacobi equations ⋮ Subelliptic Hamilton-Jacobi equations: the coercive evolution case ⋮ Almost periodic viscosity solutions of nonlinear evolution equations in Carnot groups ⋮ Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations ⋮ Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\) ⋮ Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations ⋮ \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals ⋮ Homogenization of Hamilton-Jacobi equations in Carnot Groups

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