Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains
Vladimir Gilelevich Maz'ya, J. Roßmann · Mathematical Methods in the Applied Sciences · 2006
Abstract A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. The authors prove the existence of solutions in weighted and non‐weighted Hölder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green's matrix. Copyright © 2006 John Wiley & Sons, Ltd.