Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting
Tomáš Bárta, Paige Davis, Petr Kaplický · Journal of Dynamics and Differential Equations · 2025
Abstract For the evolutionary Stokes problem with dynamic boundary conditions, we show the maximal regularity of weak solutions in time. Due to the characterization of R-sectorial operators on Hilbert spaces, the proof reduces to identifying the appropriate functional analytic setting and proving that the corresponding operator is sectorial, i.e., that it generates an analytic semigroup.