基于向量旋转内积不变的特点,通过对Green积分公式的推广,得到与空间Green三个公式相似的平面Green公式.从而,得到平面中Poisson方程Robin问题的解和平面中Poisson方程Dirichlet问题的解.
Three Green s formulas are achieved by generalizing the Green s integral formula in the two dimensions space,based on the dot product invariance of circumvolving vectors,which is similar to ones in the three dimensions space.So we solve the Robin problem of Poisson s equation and the Dirichlet problem of Poisson equation in the 2 dimensions space.