2 papers
math.AP2023
Growth of Sobolev norms for 2D cubic nonlinear Schrödinger equation with partial harmonic potential
Mingming Deng, Xiaoyan Su, Jiqiang Zheng
In this paper, we study the D cubic nonlinear Schrödinger equation (NLS) with the partial harmonic potential. First, we prove the local well-posedness in Bourgain spaces by esta…
math.AP2023
On the growth of high Sobolev norms of the cubic nonlinear Schrödinger equation on
Mingming Deng, Kailong Yang
We consider the cubic nonlinear Schrödinger equation on product manifolds . In this paper, we obtain polynomial bounds on the growth in time of high So…