English

The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds

Analysis of PDEs 2009-11-18 v1 Differential Geometry

Abstract

We prove local well-posedness of the Schr\"{o}dinger flow from RnR^n into a compact K\{"a}hler manifold NN with initial data in Hs+1(Rn,N)H^{s+1}(R^n, N) for sn/2+4s\geq n/2+4.

Keywords

Cite

@article{arxiv.0911.3141,
  title  = {The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds},
  author = {Carlos Kenig and Tobias Lamm and Daniel Pollack and Gigliola Staffilani and Tatiana Toro},
  journal= {arXiv preprint arXiv:0911.3141},
  year   = {2009}
}