div-curl引理的泛函分析
A Functional Analytic Perspective to the div-curl Lemma
摘要：
我们提出了F.~发现的著名$\dive$引理的抽象函数分析公式Murat和L.~鞑靼人本文的观点依赖于希尔伯特空间中的算子序列。因此，我们把div-curl引理与微分形式和其它序列，如最近由D.~发现的$\Grad\grad$ -序列，建立了泛函分析关系Pauly和W。Zulehner与双调和算子的关系。
英文摘要：
We present an abstract functional analytic formulation of the celebrated $\dive$-$\curl$ lemma found by F.~Murat and L.~Tartar. The viewpoint in this note relies on sequences for operators in Hilbert spaces. Hence, we draw the functional analytic relation of the div-curl lemma to differential forms and other sequences such as the $\Grad\grad$-sequence discovered recently by D.~Pauly and W.~Zulehner in connection with the biharmonic operator.
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