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The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation

✍ Scribed by Yu. L. Rodin

Publisher
Springer
Year
1983
Tongue
English
Weight
209 KB
Volume
7
Category
Article
ISSN
0377-9017

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The inverse problem for the SchrΓΆdinger
The inverse problem for the SchrΓΆdinger equation and the Riemann boundary problem
✍ Yu. L. Rodin πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 212 KB

Al~straet. A new class of reflection finite-gap potentials for the one-dimensional Schr0dinger equation is investigated. The inverse problem for this class is reduced to the 2 x 2-matrix Riemann boundary problem on a hyperelliptic Riemann surface.