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On asymptotic stability of standing waves of discrete Schr\"odinger equation in Z

CUCCAGNA, SCIPIO
•
M. TARULLI
2009
  • journal article

Periodico
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Abstract
We prove an analogue of a classical asymptotic stability result of standing waves of the Schrodinger equation originating in work by Soffer and Weinstein. Specifically, our result is a transposition on the lattice Z of a result by Mizumachi and it involves a discrete Schr\"odinger operator H=-\Delta +q . The decay rates on the potential are less stringent than in Mizumachi. We also prove |e^{itH}(n,m)|\le C \langle t \rangle ^{-1/3} for a fixed $C$
DOI
10.1137/080732821
WOS
WOS:000270194000001
SCOPUS
2-s2.0-73249150718
Archivio
http://hdl.handle.net/11368/2308340
Diritti
metadata only access
Soggetti
  • discrete Schr\"odinge...

Web of Science© citazioni
23
Data di acquisizione
Jun 7, 2022
google-scholar
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