Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder

Details Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder

2012-03-29

arxiv.org/abs/1203.6519v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we intend to study the boundary value problem of the non-stationary Stokes system in a bounded smooth cylinder $\Omega\times (0,T)$. As a first step, we consider the problem in half-plane cylinder ${\mathbb R}^n_+ \times (0,T), \,\, 0 < T \leq \infty$. We extend the result of Solonnikov\cite{So} to data in weaker function spaces than the one considered in \cite{So}.

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