English

Local Theory of Yang-Mills-Higgs-Schr\"{o}dinger Flow

Analysis of PDEs 2024-05-09 v1

Abstract

In this article, we study two Hamiltonian type flows: Yang-Mills-Higgs-Schr\"odinger flow and AA-Schr\"odinger flow. For the first one, we only obtain local existence. However, the uniqueness follows from classical tricks for the second one.

Keywords

Cite

@article{arxiv.2405.05149,
  title  = {Local Theory of Yang-Mills-Higgs-Schr\"{o}dinger Flow},
  author = {Zonglin Jia},
  journal= {arXiv preprint arXiv:2405.05149},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1608.05463 by other authors