Stability estimate for the time-dependent source function component of parabolic equations with coefficients dependent on space and time variables
Abstract This paper establishes a stability estimate for the inverse problem of identifying the time-dependent source function in parabolic equations, where coefficients vary with space and time, by employing the Carleman estimate technique.
Authors
- Nguyen Van Duc (ORCID: https://orcid.org/0000-0001-6613-2792)
- Nguyen Van Thang
Institutions
- Vinh University (VN)
- Lehigh Hanson (Canada) (CA)
Publication Details
- Journal
- Journal of Inverse and Ill-Posed Problems
- Published
- 2025-11-04
- DOI
- https://doi.org/10.1515/jiip-2025-0024
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00