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
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/}
}
TY - JOUR AU - Pais, Enno AU - Janno, Jaan TI - Identification of two degenerate time- and space-dependent kernels in a parabolic equation JO - Electronic journal of differential equations PY - 2005 VL - 2005 UR - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a113/ LA - en ID - EJDE_2005__2005__a113 ER -
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/