论文标题
模型的BVP问题，用于具有周期性边界数据的非凸角的Helmhotz方程
Model BVP problem for the Helmhotz equation in a nonconvex angle with periodic boundary data
论文作者
论文摘要
在介绍的工作中，我们以周期性边界数据的外角解决了Helmholtz方程的Dirichlet边界问题。我们在适当的函数类别中证明了解决方案的存在和唯一性，并以Sommerfeld积分的形式为其提供了明确的公式。使用复杂特征[17]的方法。
In the presented work, we solve the Dirichlet boundary problem for the Helmholtz equation in an exterior angle with periodic boundary data. We prove the existence and uniqueness of solution in an appropriate funcional class and we give an explicit formula for it in the form of the Sommerfeld integral. The method of complex characteristics [17] is used.
