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math.AP2021★ 4 cited
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials
Xing Cheng, Chang-Yu Guo, Zihua Guo +2
In this paper, we consider the following three dimensional defocusing cubic nonlinear Schrödinger equation (NLS) with partial harmonic potential \begin{equation*}\tag{NLS} i\partia…
math.AP2021★ 8 cited
The shock formation and optimal regularities of the resulting shock curves for 1-D scalar conservation laws
Yin Huicheng, Zhu Lu
The study on the shock formation and the regularities of the resulting shock surfaces for hyperbolic conservation laws is a basic problem in the nonlinear partial differential equa…