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Solvability of a noncoercive initial-boundary value problem for the Stokes system in Hölder classes of functions (the half-space case) (in Russian)
The initial-boundary value problem for the Stokes system with the surface tension in boundary conditions is considered in the half-space \mathbb R_+^3 (x_3 > 0) . This unique solubility of this problem in Hölder spaces is proved. The proof is based on estimates of the solution in $\mathbb R_{\infty} = …