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math.AP2023
The probabilistic scaling paradigm
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this note we further discuss the probabilistic scaling introduced by the authors in [21, 22]. In particular we do a case study comparing the stochastic heat equation, the nonlin…
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…