An inverse boundary value problem arising in nonlinear acoustics
Analysis of PDEs
2022-03-08 v1
Abstract
We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at the boundary of the medium encoded in the Dirichlet-to-Neumann map, and we show that these measurements determine the nonlinearity.
Cite
@article{arxiv.2203.02888,
title = {An inverse boundary value problem arising in nonlinear acoustics},
author = {Gunther Uhlmann and Yang Zhang},
journal= {arXiv preprint arXiv:2203.02888},
year = {2022}
}
Comments
36 pages. arXiv admin note: substantial text overlap with arXiv:2104.08386