Geodesic
Coefficient inverse problem for Poisson’s equation in a cylinder
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1849-1856 Cet article a éte moissonné depuis la source Math-Net.Ru

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The inverse problem of determining the coefficient on the right-hand side of Poisson’s equation in a cylindrical domain is considered. The Dirichlet boundary value problem is studied. Two types of additional information (overdetermination) can be specified: (i) the trace of the solution to the boundary value problem on a manifold of lower dimension inside the domain and (ii) the normal derivative on a portion of the boundary. (Global) existence and uniqueness theorems are proved for the problems. The study is performed in the class of continuous functions whose derivatives satisfy a Hölder condition. 
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     author = {V. V. Solov'ev},
     title = {Coefficient inverse problem for {Poisson{\textquoteright}s} equation in a~cylinder},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1849--1856},
     year = {2011},
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V. V. Solov'ev. Coefficient inverse problem for Poisson’s equation in a cylinder. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1849-1856. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a8/

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