Geodesic
Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann operator
Electronic journal of differential equations, Tome 2004 (2004)
We prove that a space- and time-dependent kernel occurring in a hyperbolic integro-differential equation in three space dimensions can be uniquely reconstructed from the restriction of the Dirichlet-to-Neumann operator of the equation into a set of Dirichlet data of the form of products of a fixed time-dependent coefficient times arbitrary space-dependent functions.
Classification : 35R30, 45K05, 74J25
Keywords: inverse problem, Dirichlet-to-Neumann operator, hyperbolic equation, viscoelasticity 
@article{EJDE_2004__2004__a198,
     author = {Janno,  Jaan},
     title = {Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted {Dirichlet-to-Neumann} operator},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1066.45007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a198/}
}
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%V 2004
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Janno,  Jaan. Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann operator. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a198/