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Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Scattering on the system of the sparse bumps: multidimensional case

S. Molchanov Dept. of Mathematics, University of North Caroloina at Charlotte, USA, NC 28223
&
B. Vainberg Dept. of Mathematics, University of North Caroloina at Charlotte, USA, NC 28223
Pages 167-185 | Received 01 Jul 1998, Published online: 20 Jan 2011

Citations (11)

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H. Islami & B. Vainberg. (2006) Large Time Behavior of Solutions to Difference Wave Operators. Communications in Partial Differential Equations 31:3, pages 397-416.
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Articles from other publishers (10)

Sylvain Golénia & Marc-Adrien Mandich. (2021) Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition. Journal of Mathematical Physics 62:9.
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Yurii Vladimirovich Egorov, Aleksandr Il'ich Komech, Peter Abramovich Kuchment, Evgenii Leonidovich Lakshtanov, Vladimir Gilelevich Maz'ya, Stanislav Alekseevich Molchanov, Roman Gennadievich Novikov & Mark Iosifovich Freidlin. (2019) Борис Руфимович Вайнберг (к восьмидесятилетию со дня рождения)Boris Rufimovich Vainberg (on his 80th birthday). Успехи математических наук Uspekhi Matematicheskikh Nauk 74:1(445), pages 189-194.
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Sergei A. Nazarov & Jari Taskinen. (2018) Essential spectrum of a periodic waveguide with non-periodic perturbation. Journal of Mathematical Analysis and Applications 463:2, pages 922-933.
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Alexander Y. Gordon & Arkadi Nemirovski. (2016) Absence of Eigenvalues for Quasi-Periodic Lattice Operators with Liouville Frequencies. International Mathematics Research Notices, pages rnw036.
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Arvydas Astrauskas. (2016) From extreme values of i.i.d. random fields to extreme eigenvalues of finite-volume Anderson Hamiltonian. Probability Surveys 13:none.
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Zhongwei Shen. (2014) Completeness for sparse potential scattering. Journal of Mathematical Physics 55:1, pages 012108.
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Domingos H. U. Marchetti & Walter F. Wreszinski. (2012) Anderson-like Transition for a Class of Random Sparse Models in d≥2 Dimensions. Journal of Statistical Physics 146:5, pages 885-899.
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A. Astrauskas. (2011) Extremal Theory for Spectrum of Random Discrete Schrödinger Operator. II. Distributions with Heavy Tails. Journal of Statistical Physics 146:1, pages 98-117.
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Vojkan Jakšić & Philippe Poulin. 2009. Analysis and Mathematical Physics. Analysis and Mathematical Physics 205 210 .
Sergey A. Denisov. (2007) Wave Propagation through sparse potential barriers. Communications on Pure and Applied Mathematics 61:2, pages 156-185.
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