半平面Poisson方程边值问题分析

Boundary Value Problem of Poisson Equation on Half-plane

分析了半平面Poisson方程的边值问题,用Poisson方程Direchlet问题Poisson公式求解的可能性,得出了该问题解的积分表达式,并给出了其为正规解的一个充分条件。

The boundary value problem of Poisson equation on half-plane is analysed.The likelihood of using the Poisson formula to solve the problem is applied to derive the integral expression of solutions of the problem,and a sufficient condition of the integral expression for the regular solution is given.