English

The periodic Cauchy problem of the modified Hunter-Saxton equation

Analysis of PDEs 2007-05-23 v3

Abstract

We prove that the periodic initial value problem for the modified Hunter-Saxton equation is locally well-posed for continuously differentiable initial data. We also study the analytic regularity of this problem and prove a Cauchy-Kowalevski type theorem.

Keywords

Cite

@article{arxiv.math/0502103,
  title  = {The periodic Cauchy problem of the modified Hunter-Saxton equation},
  author = {Feride Tiglay},
  journal= {arXiv preprint arXiv:math/0502103},
  year   = {2007}
}
R2 v1 2026-07-22T17:15:16.830Z