论文标题
非线性声学中产生的逆边界价值问题
An inverse boundary value problem arising in nonlinear acoustics
论文作者
论文摘要
我们考虑在非线性超声成像中引起的一个反问题。超声波的传播是通过准线波方程建模的。我们在Dirichlet到Neumann地图中编码的介质的边界上进行测量,并表明这些测量结果决定了非线性。
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.