Back to Search
Start Over
Determination of source or initial values for acoustic equations with a time-fractional attenuation.
- Source :
-
Analysis & Applications . Sep2023, Vol. 21 Issue 5, p1105-1130. 26p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider the inverse problems of determining the initial states or the source term of a hyperbolic equation damped by some non-local time-fractional derivative. This framework is relevant to medical imaging such as thermoacoustic or photoacoustic tomography. We prove a stability estimate for each of these two problems, with the aid of a Carleman estimate specifically designed for the governing equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02195305
- Volume :
- 21
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 170750501
- Full Text :
- https://doi.org/10.1142/S0219530523500100