Two dimensional water waves in holomorphic coordinates II: global solutions
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Two dimensional water waves in holomorphic coordinates II: global solutions

  • Author(s): Ifrim, Mihaela
  • Tataru, Daniel
  • et al.
Abstract

This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates,and prove that small localized data leads to global solutions. This article is a continuation of authors' earlier paper arXiv:1401.1252.

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