2 papers
math.AP2026
Global flows for the cubic nonlinear Schrödinger equation without decay assumptions
Shinichi Kotani, Yiqian Wang, Jiahao Xu +1
For each positive integer , we construct global spectral group actions for the defocusing and focusing nonlinear Schrödinger hierarchies on initial-data classes containing $W^{2…
math.SP2026
Toda flow with unbounded initial data
Shinichi Kotani, Jiahao Xu, Shuo Zhang
A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences ar…