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math.DS2026
Nonpersistence of full-dimensional tori with polynomial decay in nonlinear Schrödinger equations
Zhicheng Tong, Yong Li
We establish local nonpersistence of full-dimensional invariant tori with polynomially decaying actions for the periodic quintic nonlinear Schrödinger equation \[ iu_t-u_{xx}+T_vu+…
math.DS2026
Complete characterization of planar linearizability and optimal conjugacy regularity
Zhicheng Tong, Yong Li
We establish a complete characterization of local linearizability for planar diffeomorphisms. For every prescribed hyperbolic real Jordan form, we obtain necessary and suffic…