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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Bibliographic Details
Published in:	Russian mathematics Vol. 56; no. 12; pp. 71 - 75
Main Authors:	Abubakirov, N. R., Aksent’ev, L. A.
Format:	Journal Article
Language:	English
Published:	Heidelberg Allerton Press, Inc 01.12.2012
Subjects:	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
Online Access:	Get full text
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Summary:	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