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Uniqueness and stability for inverse source problem for fractional diffusion-wave equations.
- Source :
-
Journal of Inverse & Ill-Posed Problems . Dec2023, Vol. 31 Issue 6, p885-904. 20p. - Publication Year :
- 2023
-
Abstract
- This paper is devoted to the inverse problem of determining the spatially dependent source in a time fractional diffusion-wave equation, with the aid of extra measurement data at a subboundary. A uniqueness result is obtained by using the analyticity and the newly established unique continuation principle provided that the coefficients are all temporally independent. We also derive a Lipschitz stability of our inverse source problem under a suitable topology whose norm is given via the adjoint system of the fractional diffusion-wave equation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*INVERSE problems
*REACTION-diffusion equations
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 09280219
- Volume :
- 31
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Inverse & Ill-Posed Problems
- Publication Type :
- Academic Journal
- Accession number :
- 173777444
- Full Text :
- https://doi.org/10.1515/jiip-2021-0078