题目：Conserved energies for the one-dimensional cubic nonlinear Schrödinger equations 主讲人：Xian Liao （Karlsruher Institut für Technologie, Germany）摘要：We will first explain Koch-Tataru's strategy in establishing a family of conserved energies for the one-dimensional cubic (defocusing or focusing) nonlinear Schrödinger (NLS) equations, which are completely integrable by means of inverse scattering transform. Then we will discuss some related topics, such as our well-posedness results for the defocusing case but with nonzero boundary condition at infinity, and Koch-Tataru's soliton addition and removal maps in terms of Darboux transformation.
时间安排：
2023.08.28(周一) 16:00-18:00，Conserved energies for the one-dimensional cubic nonlinear Schrödinger equations-I
2023.08.30(周三) 16:00-18:00，Conserved energies for the one-dimensional cubic nonlinear Schrödinger equations-II授课地点：后主楼1220
2023年08月28日：Zoom 会议号: 947 280 52891 会议密码: 878984 2023年08月30日：Zoom会议号: 930 117 39471 会议密码: 249628
主讲人简介：Dr. Xian Liao is current the Junior professor in Institute of Analysis, Karlsruher Institut für Technologie, Germany. Her research interests are Partial differential equations, Fluid mechanics, Dispersive equations. She has published many important papers on Comm. Pure Appl. Math., Arch. Ration. Mech. Anal., Adv. Math., and so on.
