On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework
Piotr B. Mucha, Wojciech M. Zajączkowski · Studia Mathematica · 2000
The existence for the Cauchy-Neumann problem for the Stokes system in a bounded domain $Ω ⊂ ℝ^3$ is proved in a class such that the velocity belongs to $W^{2,1}_r (Ω × (0,T))$, where r > 3. The proof is divided into three steps. First, the existence of so