English

Generalized Landau-Lifshitz Equation into $S^n$

Differential Geometry 2010-09-14 v1

Abstract

In this paper, a type of integrable evolution equation--the generalized Landau-Lifshitz equation into SnS^n is considered. We deal with this equation from a geometric point of view by rewriting it in a geometric form. Through the geometric energy method, we show the global well-posedness of the corresponding Cauchy problem.

Cite

@article{arxiv.1009.2335,
  title  = {Generalized Landau-Lifshitz Equation into $S^n$},
  author = {Chong Song and Jie Yu},
  journal= {arXiv preprint arXiv:1009.2335},
  year   = {2010}
}

Comments

20pages

R2 v1 2026-06-21T16:13:01.797Z