Author:
Hirayama Hiroyuki,Kinoshita Shinya,Okamoto Mamoru
Abstract
AbstractIn the present paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrödinger equations. This system was introduced by Colin and Colin (Differ Integral Equ 17:297–330, 2004). The first and second authors obtained some well-posedness results in the Sobolev space $$H^{s}({\mathbb R}^d)$$
H
s
(
R
d
)
. We improve these results for conditional radial initial data by rewriting the system radial form.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
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