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arXiv · 2309.15706

Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on $\mathbb Z^d$

Hongzi Cong·Yunfeng Shi·W. -M. Wang
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Abstract

Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary $\ell^2$ data for polynomially long time for the nonlinear quasi-periodic Schrödinger equation on $\mathbb Z^d$.

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Hongzi Cong, Yunfeng Shi, W. -M. Wang. 2023-09-27. Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on $\mathbb Z^d$. https://arxiv.org/abs/2309.15706

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