Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems

Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems

Integral Equations and Operator Theory, 74:2 (2012), 163--187 A non-classical Weyl theory is developed for skew-self-adjoint Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and direct and inverse problems are solved. A Borg-Marchenko type uniqueness re...

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Hauptverfasser: Fritzsche, B, Kirstein, B, Roitberg, I. Ya, Sakhnovich, A. L
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Classical Analysis and ODEs
Mathematics - Mathematical Physics
Mathematics - Spectral Theory
Physics - Exactly Solvable and Integrable Systems
Physics - Mathematical Physics
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Zusammenfassung:Integral Equations and Operator Theory, 74:2 (2012), 163--187 A non-classical Weyl theory is developed for skew-self-adjoint Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and direct and inverse problems are solved. A Borg-Marchenko type uniqueness result and the evolution of the Weyl function for the corresponding focusing nonlinear Schr\"odinger equation are also derived.
DOI:10.48550/arxiv.1112.1325