# Stability for quantitative photoacoustic tomography revisited

## TL;DR

This paper revisits the stability of reconstructing optical coefficients in quantitative photoacoustic tomography, providing pointwise Hölder stability estimates that align with experimental observations, especially near illumination sources.

## Contribution

It derives new stability estimates for optical coefficient reconstruction in photoacoustic imaging, highlighting spatially varying stability near sources.

## Key findings

- Reconstruction is stable near illumination sources.
- Stability deteriorates exponentially with distance from sources.
- Results align with experimental observations.

## Abstract

This paper is concerned with the stability issue in determining absorption and diffusion coefficients in quantitative photoacoustic imaging. Assuming that the optical wave is generated by point sources in a region where the optical coefficients are known, we derive pointwise H{\"o}lder stability estimate of the inversion. This result shows that the reconstruction of the optical coefficients is stable in the region close to the optical illumination sources and deteriorate exponentially far away. Our stability estimate is therefore in accordance with known experimental observations. Mathematics subject classification : 35R30.