Growth of sobolev norms for 2d cubic NLS with partial harmonic potential
科研大讨论系列报告
报告题目(Title)：Growth of sobolev norms for 2d cubic NLS with partial harmonic potential
报告人(Speaker)：郑继强 研究员 (北京应用物理与计算数学研究所)
地点(Place)：后主楼1220
时间(Time)：2023 年 5月 19 日(周五), 14：30-15：30
邀请人(Inviter)：熊金钢
报告摘要
In this talk, we study the 2D cubic nonlinear Schrödinger equation (NLS) with the partial harmonic potential. First, we prove the local well-posedness in Bourgain spaces by establishing a key bilinear estimate associated with the partial harmonic oscillator. Then, we give the polynomial bound of the Sobolev norms for the solutions using the method of the Planchon, Tzvetkov, and Visciglia. This work is jointed with Mingming Deng and Xiaoyan Su.
