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Dergiler / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 4

Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator

Şirin ATILGAN, Sedef KARAKILIÇ, Oktay A. VELİEV

Sayfa
323–347
DOI
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Özet

In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D 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 L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators

Abstract

In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D 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 L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators

Anahtar kelimeler: Turk. J. Math., 29, (2005), 323-347. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.4.