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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 9
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Original Articles

Discrete spectrum of interactions concentrated near conical surfaces

Thomas Ourmières-BonafosLaboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405Orsay, France.View further author information
&
Konstantin PankrashkinLaboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405Orsay, France.;Laboratoire Poems, INRIA, ENSTA ParisTech, 828, Boulevard des Maréchaux, 91762Palaiseau, France.Correspondence[email protected]
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Pages 1628-1649 | Received 13 Dec 2016, Accepted 26 Apr 2017, Published online: 09 May 2017

Citations (8)

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Yuriy Golovaty. (2022) 2D Schrödinger operators with singular potentials concentrated near curves. Applicable Analysis 101:13, pages 4512-4532.
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Articles from other publishers (7)

F.L. Bakharev & A.I. Nazarov. (2021) Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension. Journal of Functional Analysis 281:4, pages 109071.
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Pavel Exner. (2020) "Мягкие" квантовые структурыLeaky quantum structuresАнализ и математическая физикаAnalysis and mathematical physics. Труды Математического института имени В. А. Стеклова Trudy Matematicheskogo Instituta imeni V.A. Steklova 311, pages 123-139.
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Pavel Exner. (2021) Leaky Quantum Structures. Proceedings of the Steklov Institute of Mathematics 311:1, pages 114-128.
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Pavel Exner. (2020) Spectral properties of soft quantum waveguides. Journal of Physics A: Mathematical and Theoretical 53:35, pages 355302.
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Sebastian Egger, Joachim Kerner & Konstantin Pankrashkin. (2019) Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces. Letters in Mathematical Physics 110:5, pages 945-968.
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Pavel Exner & Vladimir Lotoreichik. (2020) Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer. Integral Equations and Operator Theory 92:2.
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Monique Dauge, Yvon Lafranche & Thomas Ourmières-Bonafos. (2018) Dirichlet Spectrum of the Fichera Layer. Integral Equations and Operator Theory 90:5.
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