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.
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页码：1364 / 1404
页数：41
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