Analysis demonstrates strong solutions for the Dirichlet problem in polygonal domains, indicating weighted Sobolev spaces' significance.
The author proves the existence of strong solutions of the Dirichlet problem for the nonstationary Stokes system in polygonal domain. Here, the solutions are elements of weighted Sobolev spaces, where the weight function is a power of the distance from the corner points.
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Jürgen Roßmann (2025) studied this question.
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