Geodesic
Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem
Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 2, pp. 9-22 
A. B. Bogatyrev. Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 2, pp. 9-22. http://geodesic.mathdoc.fr/item/FAA_2000_34_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the Poincaré–Steklov singular integral equation obtained by reducing a boundary value problem for the Laplace operator with a spectral parameter in the boundary condition to the boundary. It is shown that this equation can be restated equivalently in terms of the classical Riemann monodromy problem. Several equations of this type are solved in elliptic functions.

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