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Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
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Original Articles

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

A. I. Komech Faculty of Mathematics, Vienna University, A-1090 Vienna, AustriaCorrespondence[email protected]
,
E. A. Kopylova Wolfgang pauli Institute, Vienna University, A-1090 Vienna, Austria
&
M. Kunze Universität Duisburg-Essen, Fachbereich Mathematick, D-45117 Essen, Germany
Pages 1487-1508 | Received 13 Jun 2005, Published online: 11 Dec 2006

References

  • Agmon , S . 1975 . Spectral properties of Schrödinger operator and scattering theory . Annali di Scuola Normale Superiore di Pisa, Series IV , 2 : 151 – 218 .
  • Bleher , PM . 1972 . On operators depending meromorphically on a parameter . Moscow University Mathematics Bulletin , 24 : 21 – 26 .
  • Eskina , MS . 1967 . “ The scattering problem for partial-difference equation ” . In Mathematical Physics , 248 – 273 . Kiev : Naukova Dumka . (in Russian)
  • Jensen , A . 1980 . Spectral properties of Schrödinger operators and time-decay of the wave function. Results in . Duke Mathematical Journal , 47 : 57 – 80 .
  • Jensen , A . 1984 . Spectral properties of Schrödinger operators and time-decay of the wave function. Results in . Journal of Mathematical Analysis and Applications , 101 : 491 – 513 .
  • Jensen , A and Kato , T . 1979 . Spectral properties of Schrödinger operators and time-decay of the wave functions . Duke Mathematical Journal , 46 : 583 – 611 .
  • Lax , P and Philips , R . 1989 . Scattering Theory , New York : Academic Press .
  • Murata , M . 1982 . Asymptotic expansions in time for solutions of Schrödinger-type equations . Journal of Functional Analysis , 49 : 10 – 56 .
  • Schlag , W . Dispersive estimates for Schrödinger operators: a survey (Preprint)
  • Shaban , W and Vainberg , B . 2001 . Radiation conditions for the difference Schrödinger operators . Journal of Applied Analysis , 80 : 525 – 556 .
  • Vainberg , B . 1974 . Behaviour for large time of solutions of the Klein–Gordon equation . Transactions of the Moscow Mathematical Society , 30 : 139 – 158 .
  • Vainberg , B . 1975 . On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t → ∞ of solutions of non-stationary problems . Russian Mathematical Surveys , 30 : 1 – 58 .
  • Vainberg , B . 1989 . Asymptotic Methods in Equations of Mathematical Physics , New York : Gordon and Breach .

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