vix.ing · top · new · best · stats · spec

Thermo and photoacoustic Tomography with variable speed and planar detectors

2016/05/03 by Stefanov, Plamen, Yang, Yang
#35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.00871

Abstract

We analyze the mathematical model of multiwave tomography with a variable speed with integrating measurements on planes tangent to a sphere surrounding the source. We prove sharp uniqueness and stability estimates with full and partial data and propose a time reversal algorithm which recovers the visible singularities.

Related