Develops a framework for solving the Hall problem in various dimensions, indicating the existence of solutions in smooth bounded domains.
In this paper, we develop a framework based on differential forms that enables us to deal with the Hall problem on domains in any dimension n≥2. In the case of smooth bounded domains of Rⁿ, we prove local existence of mild solutions in subcritical spaces.
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Sylvie Monniaux (2026) studied this question.
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