On the Spectrum of the Superposition of Separated Potentials
نویسندگان
چکیده
Suppose that V (x) is an exponentially localized potential and L is a constant coefficient differential operator. A method for computing the spectrum of L+V (x−x1)+ ...+V (x−xN ) given that one knows the spectrum of L+V (x) is described. The method is functional theoretic in nature and does not rely heavily on any special structure of L or V apart from the exponential localization. The result is aimed at applications involving the existence and stability of multi-pulses in partial differential equations.
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تاریخ انتشار 2010