学术报告（吴奕飞 10.18）

摘要：

In this talk, focuses on the non-relativistic limit of the Cauchy problem for the defocusing cubic nonlinear Klein-Gordon equations. We show that, as the light speed $c$ tends to infinity, the error function is bounded by, (1) in the case of 2D and modulated Schrodinger-wave profiles, $c^{-2}$, uniformly for all time, under $H^2$ initial data; (2) in the case of both 2D and 3D and modulated Schr\"odinger profiles, $c^{-2} +(c^{-2}t)^{\alpha/4}$,  under $H^\alpha$ initial data with $2 \leq \alpha \leq 4$.  We also show the sharpness of the upper bounds in (1) and (2), and the required minimal regularity on the initial data in (2). This talk is based on a joint work with Zhen Lei.