We obtain the asymptotic formulas for the resonance eigenvalues of these operators
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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).
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Temel Bulgular & Veri: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).
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Sonuç & Katkı:We obtain the asymptotic formulas for the resonance eigenvalues of these operators
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Turk. J. Math. · (2005) · 323-347. Full text: pdf Other articles published in the same issue: Turk. J. Math.
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
ATILGAN, Ş., KARAKILIÇ, S., VELİEV, O. A. (2022). Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 4, 323–347. https://ajindex.com/articles/608753