Lp-inequalities for scalar Oseen potential

The Oseen equations are obtained by linearizing the Navier–Stokes equations around a nonzero constant vector which is the velocity at infinity. We are interested with the study of the scalar problem corresponding to the anisotropic operator . The Marcinkiewicz interpolation's theorem and the Sobolev embeddings are used to give, in the Lp theory, the continuity's properties of the scalar Oseen potential. The contribution of the term gives supplementary properties with regard to the Riesz potential.