V. Maz'ya, J. Rossmann
Estimates for Green's matrix of boundary value problems for the Stokes system in a polyhedral cone
Preprint series: ESI preprints

MSC:

35J25 Boundary value problems for second-order, elliptic equations

35J55 Boundary value problems for elliptic systems

35Q30 Stokes and Navier-Stokes equations, See also {76D05, 76D07,

Abstract: The paper deals with a boundary value problem for the Stokes system in a polyhedral cone. The authors obtain regularity results for weak solutions in weighted $L_2$ Sobolev spaces and point estimates of Green's matrix.

Keywords: Stokes system, Green's matrix, nonsmooth domains