背景 球内区域 Laplace方程的边值问题 V2u=0 u,=f(∑) 但在写出定解问题在球坐标系下的具体形式时,需要注意Associated Legendre Functions Spheroidal Harmonics Eigenproblem of Associated Legendre Eqns Orthogonality of Associated Legendre Ftns µ ¥S«Laplace§>Š¯K ∇2u = 0 u   Σ = f(Σ) 3ѽ)¯K3¥‹IXeäN/ªž§I‡5¿ Laplace§3‹I:r = 0ؤá§3T: ¿Ùþ3u(r, θ, φ)érüýê rLaplace§U¥‹IXž§ ± ½)¯Kd5§ „7LÖ¿þu(r, θ, φ) 3‹I:r = 0?k.^‡ C. S. Wu 1lù ¥¼ê(n)