08-207 Vitali Vougalter

On threshold eigenvalues and resonances for the linearized NLS equation (354K, ps) Oct 31, 08

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Abstract. We prove the instability of threshold resonances and eigenvalues of the linearized NLS operator. We compute the asymptotic approximations of the eigenvalues appearing from the endpoint singularities in terms of the perturbations applied to the original NLS equation. Our method involves such techniques as the Birman-Schwinger principle and the Feshbach map.

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