含有透射条件的椭圆方程边值问题

含有透射条件的椭圆方程边值问题 BOUNDARY VALUE PROBLEM OF TRANSMISSION FOR ELLIPTIC EQUATION 李春景 Li Chuning 1 2 first-author 武汉大学经济学院,武汉 武汉大学经济学院,武汉 College of Economics, Wuhan University College of Economics, Wuhan University ,430072 ,430072 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. 变分形式 弱解 可解性 variational form weak solution solvability O182.1 1998-05-01 2021-04-01 5