The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II (in Russian)
Vladimir Gilelevich Maz'ya, Boris Alekseevich Plamenevskii · Zeitschrift für Analysis und ihre Anwendungen · 1983
This is a continuation of the author’s paper in ZAA 4 (1983) devoted to the Dirichiet problem for the linear Stokes system in a piece-vise smooth domain in \mathbb R^3 . Here the estimates for the Green tensor and Miranda-Agmon maximum principle are proved. Similar results are obtained for Lamé’s equations. The existence of a strong solution of the Dirichlet problem for the Navier-Stokes equations is proved along with some estimates for this solution.