Abstract
Consider the instationary Stokes system in general unbounded domains $\Omega \subset \mathbb{R}^n$, $n \geq 2$, with boundary of uniform class $C^3$, and Navier slip or Robin boundary condition. The main result of this article is the maximal regularity of the Stokes operator in function spaces of the type $\tilde{L}^q$ defined as $L^q \cap L^2$ when $q \geq 2$, but as $L^q + L^2$ when $1 < q < 2$, adapted to the unboundedness of the domain.
Citation
Reinhard FARWIG. Veronika ROSTECK. "Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains." J. Math. Soc. Japan 71 (4) 1293 - 1319, October, 2019. https://doi.org/10.2969/jmsj/81038103
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