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Azerbaijan Baku
Year
2012
Issue
1
Pages
32-40
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Section Mathematics
Title Inverse boundary value problem for second order elliptic equation with additional integral condition
Author(-s) Megraliev Ya.T.a
Affiliations Baku State Universitya
Abstract An inverse boundary value problem for the second order elliptic equation with an additional integral condition of the first kind is investigated. We introduce the definition of a classical solution for the considered inverse boundary value problem reduced to solving of the system of integral equations by the use of the Fourier method. First, the existence and uniqueness of solutions of the system of integral equations are proved by using the method of contraction mappings; and then the existence and uniqueness of classical solutions of the original problem are proved.
Keywords inverse boundary value problem, elliptic equation, Fourier method, classic solution
UDC 517.95
MSC 35-02
DOI 10.20537/vm120104
Received 19 December 2011
Language Russian
Citation Megraliev Ya.T. Inverse boundary value problem for second order elliptic equation with additional integral condition, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 1, pp. 32-40.
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