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arXiv · 1811.08324

Well-posedness for a system of quadratic derivative nonlinear Schr\"odinger equations with radial initial data

Hiroyuki Hirayama·Shinya Kinoshita·Mamoru Okamoto
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Abstract

In the present paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schr\"odinger equations. This system was introduced by M. Colin and T. Colin (2004). The first and second authors obtained some well-posedness results in the Sobolev space $H^{s}(\mathbb{R}^d)$. We improve these results for conditional radial initial data by rewriting the system radial form.

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Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto. 2018-11-19. Well-posedness for a system of quadratic derivative nonlinear Schr\"odinger equations with radial initial data. https://doi.org/10.1007/s00023-020-00931-3

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