Shan Zhang, Zuhan Liu, and Zhongxue L\"u Yangzhou University, Xuzhou Normal University, Xuzhou Normal University
Abstract : We establish the local well-posedness for the Cauchy problem of the nonlinear Schr\"{o}dinger equation with harmonic potential in $H^{s}(\mathbb{R}^{n})$, where $s\in \mathbb{R},~ s>0.$
