Journal
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
Volume 30, Issue 2, Pages 191-203Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/jiip-2020-0089
Keywords
Inverse source problem; inverse coefficient problem; Carleman estimates; stability
Categories
Funding
- NSF [DMS 1312900]
- Japan Society for the Promotion of Science [15H05740, 20H00117]
- FrenchNational ResearchAgencyANR (project MultiOnde) grant [ANR-17-CE40-0029]
- National Natural Science Foundation of China [11771270, 91730303]
- RUDN University Strategic Academic Leadership Program
Ask authors/readers for more resources
In this paper, we investigate an inverse problem for a parabolic equation, where we aim to determine a coefficient independent of one spatial component, using lateral boundary data. We utilize a Carleman estimate to provide a conditional stability estimate for the inverse problem. Additionally, we establish similar results for the corresponding inverse source problem.
For a parabolic equation in the spatial variable x = (x(1), . . . , x(n) ) and time t, we consider an inverse problem of determining a coefficient which is independent of one spatial component x(n) by lateral boundary data. We apply a Carleman estimate to prove a conditional stability estimate for the inverse problem. Also, we prove similar results for the corresponding inverse source problem.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
