Geodesic
Gakhov equation for external mixed inverse boundary value problem on Riemann surfaces with branch-point of arbitrary order over the infinity
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 30-43

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We prove the solvability of an analog of the Gakhov equation for an external mixed inverse boundary value problem on a polygonal Riemann surface with a unique branch-point over the infinity.
Keywords: mixed inverse boundary value problem, Gakhov's equation, rotation of vector field, Riemann surface, boundary value problems with free boundaries, polyanalytical functions. 
@article{VSGU_2009_4_a2,
     author = {S. R. Nasyrov and L. Yu. Nizamieva},
     title = {Gakhov equation for external mixed inverse boundary value problem on {Riemann} surfaces with branch-point of arbitrary order over the infinity},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {30--43},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a2/}
}
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S. R. Nasyrov; L. Yu. Nizamieva. Gakhov equation for external mixed inverse boundary value problem on Riemann surfaces with branch-point of arbitrary order over the infinity. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 30-43. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a2/