English

Lipschitz Flow-box Theorem

Dynamical Systems 2008-12-22 v4 Differential Geometry Functional Analysis

Abstract

A generalization of the Flow-box Theorem is given. The assumption of continuous differentiability of the vector field is relaxed to a local Lipschitz condition. The theorem holds in any Banach space.

Keywords

Cite

@article{arxiv.math/0305207,
  title  = {Lipschitz Flow-box Theorem},
  author = {Craig Calcaterra and Axel Boldt},
  journal= {arXiv preprint arXiv:math/0305207},
  year   = {2008}
}

Comments

9 pages; replacement with explanatory figure and proof outline