Geodesic
Explicit forms of the Schwarz integral and their application in inverse boundary-value problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 55-62

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We obtain new explicit forms of the Schwarz integral in the unit circle. With the help of superpositions of logarithms we establish criteria that characterize the appearance of singular points on the boundary in inverse boundary value problems, as well as criteria for the appearance of boundary circles.
Keywords: Schwarz integral, inverse boundary-value problems, modulus of continuity. 
@article{IVM_2013_10_a4,
     author = {N. R. Abubakirov and L. A. Aksent'ev},
     title = {Explicit forms of the {Schwarz} integral and their application in inverse boundary-value problems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--62},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a4/}
}
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N. R. Abubakirov; L. A. Aksent'ev. Explicit forms of the Schwarz integral and their application in inverse boundary-value problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 55-62. http://geodesic.mathdoc.fr/item/IVM_2013_10_a4/