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2014 N 11 28 ijj 15:30 ` 17:30
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Existence and asymptotic stability of quasi-periodic solution of discrete NLS
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We consider a discrete nonlinear Schrödinger equation with potential on \$\mathbb{Z}\$ and assume the Schrödinger operator has exactly two eigenvalues. We show there exists a small quasi-periodic solution and further prove that all small solution decomposes into this quasi-periodic solution and scattering waves.

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