摘要
基于Riesz-表示算子,给出了实Hilbert内积空间按某种连续双线性泛函的正交分解的刻划,应用于鞍点变分问题,获得了解的分离及其强制型于问题.
This paper proposes a characterization of the orthogonal subspace of Hilbert space, where the orthogonal decomposition is derived from some continuous bilinear form. As an application, the solutions to saddle-point problems are decoupled, and as a result two coercive subproblems are obtained, which can be separately approximated.