Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator

Authors: SEDEF KARAKILIÇ, O. A. VELİEV, Ş. ATILGAN

Abstract: In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - \Delta u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L_2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators

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