AN INVERSE BOUNDARY VALUE PROBLEM ARISING IN NONLINEAR ACOUSTICS*

被引：4

作者：

Uhlmann, Gunther ^{[1
]}

Zhang, Yang ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 02期

基金：

美国国家科学基金会;

关键词：

nonlinear ultrasound imaging; inverse boundary problem; quasilinear wave equa-tions; WAVE-EQUATIONS; SINGULARITIES; PROPAGATION; MANIFOLDS;

D O I：

10.1137/22M1492490

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse problem arising in nonlinear ultrasound imaging. The prop-agation 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.

引用

页码：1364 / 1404

页数：41

共 66 条

[1] NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION [J].