含有透射条件的椭圆方程边值问题

BOUNDARY VALUE PROBLEM OF TRANSMISSION FOR ELLIPTIC EQUATION

研究在区域ΩRn中，含有透射条件的椭圆方程边值问题．用变分的方法，在Sobolev空间中建立了其弱的形式，通过弱解的研究，证明了问题的可解性．

The Dirichlet-Neumann boundary value problems of elliptic equation with transmisson conditions have been discussed in domain Ω Rn.Its weak formulation is desscribed by use of the variationalmethod in Sobolev space.Through studing the weak solution its solvability has been proved.