On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

DOI10.1016/j.jfa.2009.01.027zbMath1191.47060OpenAlexW2028237508MaRDI QIDQ1017702

Thomas Kappeler, Peter J. Topalov, Frédéric Serier

Publication date: 12 May 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.01.027

zbMATH Keywords

periodic Dirac operatorsdecay of gap lengthsfocusing NLS

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property ⋮ Arnold--Liouville Theorem for Integrable PDEs: A Case Study of the Focusing NLS Equation ⋮ Asymptotics of spectral quantities of Zakharov-Shabat operators ⋮ Birkhoff coordinates for the focusing NLS equation ⋮ On the spectral problem associated with the time-periodic nonlinear Schrödinger equation

Cites Work

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