Quasi-periodic solutions of nonlinear random Schrödinger equations

Abstract

We construct quasi-periodic solutions to the lattice nonlinear random Schroedinger equation on a set of potentials of positive measure via using a Lyapunov-Schmidt decomposition and a multiscale Newton scheme.

References in corpus (1)

• Constructive Fractional-Moment Criteria for Localization in Random Operators

Cited by in corpus (2)

• Quasi-periodic solutions of the Schrödinger equation with arbitrary algebraic nonlinearities
• Diffusion bound for the nonlinear Anderson model