论文标题
关于通过helmholtz方程的溶液来表征球的表征
On characterization of balls via solutions to the Helmholtz equation
论文作者
论文摘要
获得了欧几里得空间中球的新分析表征$ \ rr^m $。与先前的结果不同，使用谐波函数或对修改的Helmholtz方程的解决方案不同，目前的结果基于Helmholtz方程的解决方案。这是以对域尺寸施加的限制为代价的 - 以前已知的反相值属性中没有特征。
A new analytical characterization of balls in the Euclidean space $\RR^m$ is obtained. Unlike previous results of this kind, using either harmonic functions or solutions to the modified Helmholtz equation, the present one is based on solutions to the Helmholtz equation. This is achieved at the expense of a restriction imposed on the size of a domain -- a feature absent in the inverse mean value properties known before.
