Commuting Hamiltonians and multi-time Hamilton-Jacobi equations
辛几何
2009-12-01 v2 偏微分方程分析
摘要
We prove that if a sequence of pairs of smooth commuting Hamiltonians converge in the topology to a pair of smooth Hamiltonians, these commute. This allows us define the notion of commuting continuous Hamiltonians. As an application we extend some results of Barles and Tourin on multi-time Hamilton-Jacobi equations to a more general setting.
引用
@article{arxiv.math/0507418,
title = {Commuting Hamiltonians and multi-time Hamilton-Jacobi equations},
author = {Franco Cardin and Claude Viterbo},
journal= {arXiv preprint arXiv:math/0507418},
year = {2009}
}