Weak inverse problems for parabolic integro-differential equations containing two kernels

An inverse problem to determine a coefficient and two kernels in a parabolic integro-differential equation is considered. A corresponding direct problem is supposed to be in the weak form. Existence of the quasi-solution is proved and issues related to Frechet differentiation of the cost functio...

Full description

Bibliographic Details
Main Authors: Kairi Kasemets, Jaan Janno
Format: Article
Language:English
Published: Texas State University 2014-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/176/abstr.html