2 papers
math.AP2024
Global well-posedness for rough solutions of defocusing cubic NLS on three dimensional compact manifolds
Chen Qionglei, Yilin Song, Jiqiang Zheng
In this article, we investigate the global well-posedness for cubic nonlinear Schrödinger equation(NLS) posed on the three dimensional compact manifolds…
math.AP2024
Dynamics of the combined nonlinear Schrödinger equation with inverse-square potential
Zuyu Ma, Yilin Song, Jiqiang Zheng
We consider the long-time dynamics of focusing energy-critical Schrödinger equation perturbed by the -critical nonlinearity and with inverse-square potential(C…