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Well-posedness of the Cauchy problem in low regularity for kinetic DNLS on 1D torus
报告人:Yoshio Tsutsumi, 京都大学 时间:2025年8月1日10:00 字号:

报告地点:行健楼学术活动室665

邀请人:网赌

摘要:The kinetic derivative nonlinear Schrodinger equation (KDNLS) is a nonlinear Schrodinger equation with a nonlocal cubic derivative nonlinear term, which has dissipative nature. The gauge transformation is known to be effective for the standard derivative NLS (DNLS) but it does not work for KDNLS as well as DNLS. I will talk about the local well-posedness of the Cauchy problem for KDNLS on 1D torus. Our proof uses the dissipative nature of KDNLS. This is a joint work with Nobu Kishimoto, RIMS, Kyoto University.


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