Applications of a version of the de Rham lemma to the existence theory of a weak solution to the Maxwell–Stokes type equation
Junichi Aramaki · Arabian Journal of Mathematics · 2018
In this paper, we show the existence of a weak solution to the Maxwell–Stokes type equation with a potential satisfying the Dirichlet condition, under the hypothesis that the domain has no holes, using a version of the de Rham lemma that was proved in our previous paper. We also give the regularity of weak solutions.