English

Properties of Solutions of Differential Equations on Foliations

Classical Analysis and ODEs 2011-04-20 v1

Abstract

In this paper, we discuss foliations by real curves. We investigate differential equations which are modifications of du/dx = v along leaves. Our focus is on having a solution operator so that u is continuous if v is continuous.

Keywords

Cite

@article{arxiv.1104.3605,
  title  = {Properties of Solutions of Differential Equations on Foliations},
  author = {Xiaoai Chai and John Eric Fornaess},
  journal= {arXiv preprint arXiv:1104.3605},
  year   = {2011}
}

Comments

45 pages, 4 figures