On correlation of two solution classes for Navier - Stokes equations. II

This is a supplement to the author's work [1] devoted to the solvability of initial boundary value problem for the Navier--Stokes equations with mass force y depeding on unknown (speed) polynomially. In this paper local resolvability of the problem in the generalized sense is established and the proof of a key lemma in [1] is also given.