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arxiv: 0805.4632 · v1 · submitted 2008-05-29 · 🧮 math.DS · math-ph· math.MP

Quasi-periodic solutions of nonlinear random Schr\"odinger equations

classification 🧮 math.DS math-phmath.MP
keywords nonlinearquasi-periodicrandomsolutionsconstructdecompositionequationequations
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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.

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