偏微分方程式セミナー: Well-posedness for a system of quadratic derivative nonlinear Schr\”odinger equations with radial initial data, 平山 浩之 氏

開催日時

2019年1月11日 16時30分 ～ 2019年1月11日 18時00分

場所

北海道大学理学部3号館3-309室

講演者

平山 浩之 氏 (宮崎大学)

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) as a model of laser-plasma interaction. The well-posedness of this system in the Sobolev space was obtained in our previous works (H (2014), H and S. Kinoshita (2019)). In this talk, we improve these results for conditional radial initial data by rewriting the system into radial form. This talk is based on a joint work with Shinya Kinoshita and Mamoru Okamoto.

世話人：黒田 紘敏、浜向 直