Dispersive estimates for 1D discrete Schrödinger and Klein–Gordon equations

DOI10.1080/00036810601074321zbMath1121.39015OpenAlexW2016584718WikidataQ58172915 ScholiaQ58172915MaRDI QIDQ3426408

Elena A. Kopylova, Alexander I. Komech, Markus Kunze

Publication date: 8 March 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810601074321

zbMATH Keywords

Cauchy problemdiscrete spectrumlong-time asymptoticsPuiseux expansionlinear Klein-Gordon equationfree resolventlinear discrete Schrödinger equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Discrete version of topics in analysis (39A12) Ordinary differential equations of infinite order (34A35) Linear difference operators (47B39) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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Cites Work

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• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Asymptotic expansions in time for solutions of Schrödinger-type equations
• Radiation conditions for the difference schrödinger operators
• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS

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