论文标题
Helmholtz方程的正交结构域，并应用于非散落现象
Quadrature domains for the Helmholtz equation with applications to non-scattering phenomena
论文作者
论文摘要
在本文中，我们为Helmholtz方程式引入了正交域。我们显示了此类域的存在结果，并实施了所谓的部分Balayage程序。我们还为反散射问题提供了应用，并表明在任何具有内向尖端的正频率下，Helmholtz方程都有非散射域。
In this paper, we introduce quadrature domains for the Helmholtz equation. We show existence results for such domains and implement the so-called partial balayage procedure. We also give an application to inverse scattering problems, and show that there are non-scattering domains for the Helmholtz equation at any positive frequency that have inward cusps.
