Va. Kozlov et Vg. Mazya, ON POWER-LOGARITHMIC SOLUTIONS TO THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM IN A DIHEDRAL ANGLE, Mathematical methods in the applied sciences, 20(4), 1997, pp. 315-346
The Dirichlet problem for the Stokes system in a dihedral angle is con
sidered. An explicit description of special solutions to the homogeneo
us problem which have the form U(x) - \x\(lambda) (O less than or equa
l to k less than or equal to kappa)Sigma (log \x\)(kappa - k)/(kappa -
k)! u((k))(x/\x\), P(x) = \x\(lambda - 1) (O less than or equal to k
less than or equal to kappa)Sigma (log \x\(kappa - k)/(kappa - k)! p((
k))(x/\x\) is given. (C) 1997 by B. G. Teubner Stuttgart-John Wiley &
Sons Ltd.