Div-curl lemma revisited: Applications in electromagnetism
Two new time-dependent versions of div-curl results in a bounded domain are presented. We study a limit of the product , where the sequences and belong to . In Theorem 2.1 we assume that is bounded in the -norm and is controlled in the -norm. In Theorem 2.2 we suppose that is bounded in the -norm and is controlled in the -norm. The time derivative of is bounded in both cases in the norm of . The convergence (in the sense of distributions) of to the product of weak limits...