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math.AP2024
Existence, Uniqueness and Asymptotic Dynamics of Nonlinear Schrödinger Equations With Quasi-Periodic Initial Data: I. The Standard NLS
David Damanik, Yong Li, Fei Xu
This is the first part of a two-paper series studying nonlinear Schrödinger equations with quasi-periodic initial data. In this paper, we consider the standard nonlinear Schrödin…
math.AP2024
Existence, Uniqueness and Asymptotic Dynamics of Nonlinear Schrödinger Equations With Quasi-Periodic Initial Data: II. The Derivative NLS
David Damanik, Yong Li, Fei Xu
This is the second part of a two-paper series studying the nonlinear Schrödinger equation with quasi-periodic initial data. In this paper, we focus on the quasi-periodic Cauchy pr…