Identification of two degenerate time- and space-dependent kernels in a parabolic equation
Electronic journal of differential equations, Tome 2005 (2005)
An inverse problem to determine two degenerate time- and space-dependent kernels in a parabolic integro-differential equation is considered. Observation data involves given values of the solution of the equation in a finite number of points over the time. Existence and uniqueness of a solution to the inverse problem is proved.
Classification : 35R30, 80A23
Keywords: inverse problem, memory kernel, parabolic equation
@article{EJDE_2005__2005__a113,
     author = {Pais,  Enno and Janno,  Jaan},
     title = {Identification of two degenerate time- and space-dependent kernels in a parabolic equation},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1090.45008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a113/}
}
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Pais,  Enno; Janno,  Jaan. Identification of two degenerate time- and space-dependent kernels in a parabolic equation. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a113/