Inverse boundary-value problems of cauchy type for harmonic functions

We apply two methods for solving the inverse boundary-value problem (the so-called problem (A)) in the Cauchy statement for an analytic function and an unknown curve Γ. We obtain criteria for Γ to be the unit circle. We apply the proposed methods for solving a modified Hadamard example and generaliz...

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Vydáno v:Russian mathematics Ročník 56; číslo 12; s. 71 - 75
Hlavní autoři: Abubakirov, N. R., Aksent’ev, L. A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Allerton Press, Inc 01.12.2012
Témata:
Brief Communications
Mathematics
Mathematics and Statistics
inverse boundary-value problems
boundary-value problems for analytic functions
harmonic functions
Cauchy problem
ISSN:1066-369X, 1934-810X
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Shrnutí:We apply two methods for solving the inverse boundary-value problem (the so-called problem (A)) in the Cauchy statement for an analytic function and an unknown curve Γ. We obtain criteria for Γ to be the unit circle. We apply the proposed methods for solving a modified Hadamard example and generalize the obtained results for the case of doubly connected domains.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X12120080