An inverse hyperbolic problem with application to joint photoacoustic parameter determination
Abstract
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover both the wave speed and the initial ultrasound pressure from a single ultrasound signal. In particular, our result shows that the ratio of the initial ultrasound pressure and the wave speed squared uniquely determines both of them respectively.
Fields of Study & Subjects
Thermography and Photoacoustic Techniques
Photoacoustic and Ultrasonic Imaging
Advanced Measurement and Detection Methods
Publication details
- Journal / source
- Pure and Applied Analysis
- Volume
- 8
- Issue
- 2
- Pages
- 477–495
- Publication date
- 12 July 2026
- Language
- EN