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math-ph2026
Anderson localization for 1-d quasi-periodic Schrödinger operators with degenerate weights
Yingdu Dong, Haoxuan Liu, Zuhong You +1
We establish Anderson localization for 1-d discrete Schrödinger operators with positive weights. The distinctive feature of this work lies in the degeneracy of the weights, with bo…
math-ph2025
Periodic Response Solutions to Multi-Dimensional Nonlinear Schrödinger equation with unbounded perturbation
Zuhong You, Xiaoping Yuan
By applying the Craig-Wayne-Bourgain (CWB) method, we establish the existence of periodic response solutions to multi-dimensional nonlinear Schrödinger equations (NLS) with unbound…