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On a resolvent estimate for the Stokes system with Neumann boundary condition

On a resolvent estimate for the Stokes system with Neumann boundary condition

We obtain the $L_p$ estimate of solutions to the resolvent problem for Stokes system with Neumann type boundary condition in a bounded or exterior domain in $\mathbb R^n$. The result has been obtained by Grubb and Solonnikov [7, 8, 9, 10] by the systematic use of theory of pseudo-differential operators. …