Pith. sign in

REVIEW 1 cited by

An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.12759 v1 pith:BOB4S4KI submitted 2024-08-22 math.AP

Shitao Liu , Gunther Uhlmann , Yang Yang This is my paper · ORCID
classification math.AP
keywords ultrasoundhyperbolicinitialinverseparameterphotoacousticpressureproblem
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Inverse spectral problems with sparse data and applications to passive imaging on manifolds

    math.AP 2025-07 accept novelty 7.0 of 10

    Two theorems show that a potential on a closed Riemannian manifold is uniquely recovered from sparse eigenvalue data and eigenfunction restrictions to an open set, with applications to single-measurement passive imaging.

Pith tools