Kairi Kasemets, Jaan Janno
Abstract:
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 functional are treated.
Submitted April 8, 2014. Published August 15, 2014.
Math Subject Classifications: 35R30, 80A23.
Key Words: Inverse problem; parabolic integro-differential equation;
relaxation kernel; quasi-solution.
Show me the PDF file (292 KB), TEX file, and other files for this article.
| Kairi Kasemets Tallinn University of Technology Ehitajate tee 5, Tallinn, Estonia email: kairi.kasemets@ttu.ee |
| Jaan Janno Tallinn University of Technology Ehitajate tee 5, Tallinn, Estonia email: janno@ioc.ee |
Return to the EJDE web page