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arxiv:2308.01616

Maximal regularity of Stokes problem with dynamic boundary condition -- Hilbert setting

Published on Aug 3, 2023
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Abstract

For the evolutionary Stokes problem with dynamic boundary condition we show maximal regularity of weak solutions in time. Due to the characteriation of R-sectorial operators on Hilbert spaces, the proof reduces to finding the correct functional analytic setting and proving that an operator is sectorial, i.e. generates an analytic semigroup.

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