一类Helmholtz方程混合外问题解的等价性

Eqivalence property of a solution to the Helmholtz Equation With Mixed Bouudary conditons

根据偏微分方程弱解的相关知识,给出了障碍物由一个不可穿透物体外加一条可穿透的裂缝所产生散射问题的弱解的定义,利用Dirichlet到Neumann的算子理论,推导出了该弱解的等价性定理。

When an incident wave meet an impenetrable obstacle after crossing a penetrable obstacle first,a scatterding problem will happen. In the some space,we gave the definition of the weak solution of this problem. The eqivalence property of this weal solution can be getted by bringing the operator of the Dirichlet to Neumann.