On quasi-periodic lattice Schrödinger operators

Jean Bourgain

doi:10.3934/dcds.2004.10.75

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2004, Volume 10, Issue 1&2: 75-88. Doi: 10.3934/dcds.2004.10.75 open access

This issue Previous Article Existence theory and strong attractors for the Rayleigh-Bénard problem with a large aspect ratio Next Article Existence and dimension of the attractor for the Bénard problem on channel-like domains

On quasi-periodic lattice Schrödinger operators

Jean Bourgain^1,

1.
Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540

Received: February 28, 2002

Revised: December 31, 2002

Published: December 2003

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Keywords:

Schroedinger operator,
Spectrum,
KAM theory,
Melnikov problems.

Mathematics Subject Classification: 35P20, 47A10, 81Q10.

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