【摘要】 本文讨论R~3中单位球Ω上取值于Clifford代数的超复函数的Neumann边值问题■其中■表示球面的外法线方向导数,f是已知的Ω上的超复函数,得到了该边值问题有解的充要条件及解的表达式。更多还原

【Abstract】 This paper is concerned with the Neumann boundary value problem forhypercomplex functions with values in a Clifford algebra in the unit ball Ω of R³■where w（x） is a hypercomplex function with value in a Clifford algebra in ΩRew=w₁（x）+w₂（x）e₂,■stands for the outward normal derivative and f is a givenhypercomplex function in Ω. The necessary and sufficient conditions for the solva-bility are obtained and the explicit formula for the solution is also represented.更多还原