Geodesic
On an inverse boundary value problem for a second-order elliptic equation with integral condition of the first kind
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 226-235 Cet article a éte moissonné depuis la source Math-Net.Ru

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An inverse boundary value problem for a second-order elliptic equation with integral condition of the first kind is investigated. A definition of classical solution is introduced for this problem. The Fourier method is used to reduce the problem to a system of integral equations. The method of contraction mappings is applied to prove the existence and uniqueness of a solution of the system of integral equations. Then, the existence and uniqueness of a classical solution of the initial problem is proved.
Keywords: inverse boundary value problem, Fourier method, classical solution.
Mots-clés : elliptic equation 
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Ya. T. Megraliev. On an inverse boundary value problem for a second-order elliptic equation with integral condition of the first kind. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 226-235. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a21/

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