On well-posedness results for the cubic-quintic NLS on ${\mathbb{T}}^3$

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…