Gakhov Equation for Mixed Inverse Boundary Value Problem on Riemann Surface with a Simple Branch-Point over Infinity
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 91-101

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The paper proves solvability of a Gakhov equation analogue for external mixed inverse boundary value problem on a Riemann surface. The surface is supposed to contain a unique simple branch-point over the infinity. The proof method uses technique of vector field rotation.
Keywords: mixed inverse boundary value problem, Gakhov equation, vector field rotation, Riemann surface.
@article{UZKU_2008_150_1_a8,
     author = {S. R. Nasyrov and L. Yu. Nizamieva},
     title = {Gakhov {Equation} for {Mixed} {Inverse} {Boundary} {Value} {Problem} on {Riemann} {Surface} with {a~Simple} {Branch-Point} over {Infinity}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {91--101},
     publisher = {mathdoc},
     volume = {150},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a8/}
}
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S. R. Nasyrov; L. Yu. Nizamieva. Gakhov Equation for Mixed Inverse Boundary Value Problem on Riemann Surface with a Simple Branch-Point over Infinity. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 91-101. http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a8/