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Azerbaijan Baku
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 University^{a} 
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  3502 
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. 3240. 
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