Abstract
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.
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Aramaki, J. Applications of a version of the de Rham lemma to the existence theory of a weak solution to the Maxwell–Stokes type equation. Arab. J. Math. 9, 9–18 (2020). https://doi.org/10.1007/s40065-018-0224-6
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DOI: https://doi.org/10.1007/s40065-018-0224-6