Geodesic
Problem of determining the~nonstationary potential in a~hyperbolic-type equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 220-225

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We solve the problem of determining the hyperbolic equation coefficient depending on two variables. Some additional information is given by the trace of the direct problem solution on the hyperplane $x=0$. We estimate the stability of the solution of the inverse problem under study and prove the uniqueness theorem.
Keywords: inverse problem, hyperbolic equation, stability, uniqueness. 
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     author = {D. K. Durdiev},
     title = {Problem of determining the~nonstationary potential in a~hyperbolic-type equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {220--225},
     publisher = {mathdoc},
     volume = {156},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/}
}
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D. K. Durdiev. Problem of determining the~nonstationary potential in a~hyperbolic-type equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 220-225. http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/