So , for some , we can judge whether the linear partial differential operators p ( d ) admit a right inverse according to the boundary condition 由此,對(duì)某些n ,可以根據(jù)其邊界的幾何性態(tài)來荊斷其上的偏徽分算子尸( d )是不存在右逆的
This thesis tries to modify the perfect set of waveguide mode theory and gives several examples of its application . firstly , from the functional analysis , the eigenfunction series of vectorial partial differential operator is studied . the property of complete space is gotten 本文首先從泛函分析的方法出發(fā),研究了矢量偏微分算子本征函數(shù)系的性質(zhì),得到了矢量偏微分算子正交完備歸一化本征函數(shù)的存在證明,研究了maxwell方程組的情況,證明了電磁場(chǎng)在均勻和非均勻介質(zhì)條件下的正交本征函數(shù)系的完備性質(zhì)。