On solutions of nonlinear Schrödinger equations with Cantor-type spectrum

DOI10.1007/BF02843151zbMath0898.35095MaRDI QIDQ1385417

Iryna Egorova, Anne Boutet de Monvel-Berthier

Publication date: 2 September 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

spectrumDirac operatorCantor-type setalmost periodic solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

• A complete collection of spectral parameters for the Dirac operator with limit-periodic coefficients
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
• An estimate of the Cauchy matrix function for the Dirac system in the case of finite-gap nonperiodic potentials
• The trace formula for Schrödinger operators on the line
• Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum
• The algebraic-geometric AKNS potentials
• The Periodic Cubic Schrõdinger Equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
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