E. A. Kopylova, “Dispersive estimates for discrete Schrödinger and Klein–Gordon equations”, Algebra i Analiz, 21:5 (2009), 87–113; St. Petersburg Math. J., 21:5 (2010), 743

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Algebra i Analiz, 2009, Volume 21, Issue 5, Pages 87–113 (Mi aa1154)

This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

Dispersive estimates for discrete Schrödinger and Klein–Gordon equations

E. A. Kopylova

Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

Full-text PDF (356 kB) Citations (11)

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Abstract: The long-time asymptotics is derived for solutions of the discrete 3-dimensional Schrödinger and Klein–Gordon equations.

Received: 19.11.2008

English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 5, Pages 743–760
DOI: https://doi.org/10.1090/S1061-0022-2010-01115-4

Bibliographic databases:

Document Type: Article

MSC: 39A14, 35L10

Language: Russian

Citation: E. A. Kopylova, “Dispersive estimates for discrete Schrödinger and Klein–Gordon equations”, Algebra i Analiz, 21:5 (2009), 87–113; St. Petersburg Math. J., 21:5 (2010), 743–760

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1154

https://www.mathnet.ru/eng/aa/v21/i5/p87

This publication is cited in the following 11 articles:

E. L. Korotyaev, “Trace Formulas for Schrödinger Operators on a Lattice”, Russ. J. Math. Phys., 29:4 (2022), 542
A. I. Komech, E. A. Kopylova, “Attractors of nonlinear Hamiltonian partial differential equations”, Russian Math. Surveys, 75:1 (2020), 1–87
Korotyaev E., Saburova N., “Scattering on Periodic Metric Graphs”, Rev. Math. Phys., 32:8 (2020), 2050024
Korotyaev E.L., Moller J.S., “Weighted Estimates For the Laplacian on the Cubic Lattice”, Ark. Mat., 57:2 (2019), 397–428
E. Korotyaev, N. Saburova, “Spectral estimates for Schrödinger operators on periodic discrete graphs”, St. Petersburg Math. J., 30:4 (2019), 667–698
Korotyaev E., Laptev A., “Trace Formulae For Schrodinger Operators With Complex-Valued Potentials on Cubic Lattices”, Bull. Math. Sci., 8:3 (2018), 453–475
E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funct. Anal. Appl., 51:3 (2017), 225–229
Komech A., “Attractors of Hamilton nonlinear PDEs”, Discret. Contin. Dyn. Syst., 36:11 (2016), 6201–6256
Comech A., “Weak Attractor of the Klein-Gordon Field in Discrete Space-Time Interacting with a Nonlinear Oscillator”, Discret. Contin. Dyn. Syst., 33:7 (2013), 2711–2755
Dispersion Decay and Scattering Theory, 2012, 167
Kopylova E.A., Komech A.I., “Long time decay for 2D Klein-Gordon equation”, J. Funct. Anal., 259:2 (2010), 477–502

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	381
Full-text PDF :	117
References:	56
First page:	8

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