Geodesic
On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 34-39

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In this paper we study an inverse problem with an integral overdetermination condition for a hyperbolic equation with an unknown coefficient in equation. The existence and uniqueness of a solution is proved with the help of an a-priory estimate and Galyorkin procedure.
Keywords: inverse problem, integral condition, solvability. 
@article{VSGTU_2011_2_a3,
     author = {N. V. Beylina},
     title = {On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {34--39},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a3/}
}
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N. V. Beylina. On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 34-39. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a3/