【摘要】 本文利用Lax-Milgram定理,证明意义下具有常系数主部的两个自变数两个未知函数的二阶线性散度形椭圆型方程组Dirichlet问题解的存在唯一性定理.更多还原

【Abstract】 The normal form of the lincar elliptic systems of second order in Petrovskii sense with two variations and two unknow functions in divergence form is that Assume that the matrix -D(x) is positive definite and its least eigenvalueIn this paper we prove that if γ>0, then Dirichlet probfems of the elliptic systems in Petrovskii sense exist unigue. solutipn. Particularly, if Bi(x)=Ci(x) and D(x) is seminegative definite there is an unique solution.更多还原