Vitali Vougalter
On threshold eigenvalues and resonances for the linearized NLS equation
(354K, ps)

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.