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Publication Cover
Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 9: Mathematics of Nonlinear Lattices
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Original Articles

Dispersive stability of infinite-dimensional Hamiltonian systems on lattices

Alexander Mielke Weierstraß Institut für Angewandte Analysis uns Stochastik, Mohrenstraße 39, 10117 Berlin, GermanyCorrespondence[email protected]
&
Carsten Patz Weierstraß Institut für Angewandte Analysis uns Stochastik, Mohrenstraße 39, 10117 Berlin, Germany
Pages 1493-1512 | Received 07 Oct 2009, Accepted 19 Nov 2009, Published online: 26 Jul 2010

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Masaya Maeda. (2021) Stabilization of small solutions of discrete NLS with potential having two eigenvalues. Applicable Analysis 100:8, pages 1603-1633.
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Articles from other publishers (9)

Masaya Maeda. (2022) Asymptotic stability of small bound state of nonlinear quantum walks. Physica D: Nonlinear Phenomena 439, pages 133408.
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Guillaume James. (2021) Traveling fronts in dissipative granular chains and nonlinear lattices. Nonlinearity 34:3, pages 1758-1790.
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Dario Bambusi & Zhiyan Zhao. (2020) Dispersive estimate for quasi-periodic Schrödinger operators on 1-d lattices. Advances in Mathematics 366, pages 107071.
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Vita Borovyk & Michael Goldberg. (2017) The Klein–Gordon equation on and the quantum harmonic lattice . Journal de Mathématiques Pures et Appliquées 107:6, pages 667-696.
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Guillaume James & Dmitry Pelinovsky. (2014) Gaussian solitary waves and compactons in Fermi–Pasta–Ulam lattices with Hertzian potentials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470:2165, pages 20130462.
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Xiantao Li & Pingbing Ming. (2015) On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension. Communications in Computational Physics 15:3, pages 647-676.
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Dario Bambusi. (2013) Asymptotic Stability of Breathers in Some Hamiltonian Networks of Weakly Coupled Oscillators. Communications in Mathematical Physics 324:2, pages 515-547.
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Tetsu Mizumachi & Dmitry Pelinovsky. (2012) On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems - S 5:5, pages 971-987.
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Liviu I. Ignat & Diana Stan. (2011) Dispersive Properties for Discrete Schrödinger Equations. Journal of Fourier Analysis and Applications 17:5, pages 1035-1065.
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