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math.AP2026
On the gap property of a linearized NLS operator
Dong Li, Kai Yang
We consider a pair of linear operators corresponding to the linearization around the ground state soliton of the cubic nonlinear Schrödinger equation in dimension three. We introd…
math.AP2025
Optimal Gevrey regularity for supercritical quasi-geostrophic equations
Dong Li
We consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal G…