A P ] 2 4 Ja n 20 05 The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data

  title={A P ] 2 4 Ja n 20 05 The Cauchy problem for a Schr{\"o}dinger-Korteweg-de Vries system with rough data},
  author={Hartmut Pecher},
  • Hartmut Pecher
  • Published 2005
The Cauchy problem for a coupled system of the Schrödinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear Strichartz type estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao. 

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