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Small data global existence for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions

Analysis of PDEs 2020-02-04 v2

Abstract

This paper provides a small data global existence result for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions. This is an extension of the previous results by Li [Discrete Contin. Dyn. Syst., 32 (2012), 4265--4285] and Ikeda--Katayama--Sunagawa [Ann. H. Poincar\'e 16 (2015), 535--567].

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Cite

@article{arxiv.1804.05540,
  title  = {Small data global existence for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions},
  author = {Daisuke Sakoda and Hideaki Sunagawa},
  journal= {arXiv preprint arXiv:1804.05540},
  year   = {2020}
}

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28 pages