科研之友
微信
新浪微博
Facebook
分享链接
摘要
We consider second-order elliptic systems on the plane with constant (and only leading) matrix coefficients. We show that for these systems the notion of being weakly coupled (in the sense of A.V. Bitsadze) is equivalent to the well-known complementarity condition for the Dirichlet problem. In the framework of the function theoretic approach, we introduce analogs of double-layer potentials for solutions of weakly coupled systems. By using these potentials, we obtain a complete description of solutions of weakly elliptic systems in Holder classes as well as in the Hardy classes h (p) (D) and C((D) over bar). .
- 出版日期2013-6
