A New Approach to the $L^{2}$-regularity Theorems for Linear Stationary Nonhomogeneous Stokes Systems

H. Beir\ ao da Veiga

Abstract: We give a very simplified version of the $L^{2}$-regularity theorem for solutions of a nonhomogeneous system of the Stokes type (see (1.3)$_{\lambda}$) which coincides with the Stokes system when $\lambda=0$ (see Theorem 1.1). We also give a corresponding approximation theorem (see Theorem 1.2).

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