On the boundary value problem for the stationary Stokes system in the half-space (Q1343698)

The author studies the stationary Stokes system in the half-space \(x_3> 0\) with the boundary condition \(Bv= b\) at \(x_3= 0\), where \(v\) is the velocity field, \(b\) is a given vector function of \((x_1, x_2)\), \(B\) is a certain operator (in particular, \(B= id\)). The main result is a coercive estimate for the solution of the problem.