$$L_q$$ L q -estimates for stationary Stokes system with coefficients measurable in one direction
$$L_q$$ L q -estimates for stationary Stokes system with coefficients measurable in one direction
We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a prioriẆq1-estimates for any q∈[2,∞) when the coefficients are merely measurable functions in one fixed direction. For the system on bounded …