论文标题

关于修改后的Helmholtz方程的谐波功能与解决方案之间的关系

On relations between harmonic functions and solutions of the modified Helmholtz equation

论文作者

Kuznetsov, Nikolay

论文摘要

我们考虑$ M $二维修改后的Helmholtz方程,并在界面和谐波函数中建立其解决方案之间的两个关系。两种关系本质上都依赖牛顿潜力的特性。还获得了这些解决方案的其他特征。

We consider the $m$-dimensional modified Helmholtz equation and establish two relations between its solutions in a bounded domain and harmonic functions. Both relations essentially rely on properties of the Newtonian potential. Some other characteristics of these solutions are also obtained.

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