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math.AP2023
On the focusing fractional nonlinear Schrödinger equation on the waveguide manifolds
Amin Esfahani, Hichem Hajaiej, Yongming Luo +1
In this paper, we consider the focusing fractional nonlinear Schrödinger equation (FNLS) on the waveguide manifolds both in the isotropic and aniso…
math.AP2023
Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on
Yongming Luo
We consider the Cauchy problem for the defocusing cubic nonlinear Schrödinger equation (NLS) on the waveguide manifold and establish almost sure scat…
math.AP2023
On well-posedness results for the cubic-quintic NLS on
Yongming Luo, Xueying Yu, Haitian Yue +1
We consider the periodic cubic-quintic nonlinear Schrödinger equation \begin{align}\label{cqnls_abstract} (i\partial_t +Δ)u=μ_1 |u|^2 u+μ_2 |u|^4 u\tag{CQNLS} \end{align} on the th…