Geodesic
Identification of two degenerate time- and space-dependent kernels in a parabolic equation
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a213,
     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},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a213/}
}
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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a213/
LA  - en
ID  - EJDE_2005__2005__a213
ER  - 
%0 Journal Article
%A Pais, Enno
%A Janno, Jaan
%T Identification of two degenerate time- and space-dependent kernels in a parabolic equation
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a213/
%G en
%F EJDE_2005__2005__a213
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__a213/