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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Explicit forms of the {Schwarz} integral and their application in inverse boundary-value problems},
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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/

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