| Abstract: |
| We study the Stokes problem with dynamic boundary conditions in a bounded domain with a smooth boundary. Since the problem combines evolutionary equations in the interior of the domain and on its boundary, the abstract reformulation works on a space which is a product of spaces in the interior and on the boundary. We show that the corresponding operator is the generator of an analytic semigroup and since we work in Hilbert spaces we obtain maximal $L^p-L^2$ regularity. |
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