**数学与系统科学研究院**

**计算数学所学术报告会**

**报告人：**
Prof.Jean-Claude Nedelec

**报告题目：**

The Helmholtz Equation in a Half-space with a Mixed Boundary Condition

**报告摘要：**

We obtain existence and uniqueness results for the Helmholtz equation in the half-space $\rr^3_+$ with an impedance or Robin boundary condition. We compute the associated Green's function with the help of a double Fourier transform and we analyze its far field in order to obtain radiation conditions that allow to prove the uniqueness of an outgoing solution. These radiation conditions are somewhat unusual due to the appearance of a surface wave guided by the boundary. An integral representation of the solution is presented by mean of the Green's function and the boundary data. An extension to the case of a locally perturbed domain is then presented.

**报告时间：**
2006年7月21日(周五) 下午3:00--4:00

**报告地点：**科技综合楼三层311报告厅

欢迎大家参加!