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Eigenvalues and resonances using the Evans function

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  • In this expository paper, we discuss the use of the Evans function in finding resonances, which are poles of the analytic continuation of the resolvent. We illustrate the utility of the general theory developed in [13, 14] by applying it to two physically interesting test cases: the linear Schrödinger operator and the linearization associated with the integrable nonlinear Schrödinger equation.
    Mathematics Subject Classification: 34A26, 34C35, 34C37, 35K57, 35P15.


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