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 th...

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Bibliographic Details
Main Authors: Enno Pais, Jaan Janno
Format: Article
Language:English
Published: Texas State University 2005-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Inverse problem
memory kernel
parabolic equation.
Online Access:http://ejde.math.txstate.edu/Volumes/2005/108/abstr.html
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spelling doaj-f1d400dce9fd43ed849bf3c3e93f85922020-11-25T00:55:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-10-012005108120Enno PaisJaan JannoAn 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.http://ejde.math.txstate.edu/Volumes/2005/108/abstr.htmlInverse problemmemory kernelparabolic equation.
collection DOAJ
language English
format Article
sources DOAJ
author Enno Pais
Jaan Janno
spellingShingle Enno Pais
Jaan Janno
Electronic Journal of Differential Equations
Inverse problem
memory kernel
parabolic equation.
author_facet Enno Pais
Jaan Janno
author_sort Enno Pais
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2005-10-01
description 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.
topic Inverse problem
memory kernel
parabolic equation.
url http://ejde.math.txstate.edu/Volumes/2005/108/abstr.html
_version_ 1725231754642456576

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