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math.AP2024
On scattering for two-dimensional quintic Schrödinger equation under partial harmonic confinement
Zuyu Ma, Yilin Song, Ruixiao Zhang +2
In this article, we study the scattering theory for the two dimensional defocusing quintic nonlinear Schrödinger equation(NLS) with partial harmonic oscillator which is given by \b…
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…