Spatial and temporal decay estimate of the Stokes flow of weighted image initial data in the half space Original Research Article

In this paper, we derive the spatial and temporal decay estimate of the Stokes solution View the MathML sourcee−tAa in the half space when the prescribed initial data is in a weighted L1L1 space. We obtained that View the MathML source‖xire−tAa‖L∞≤Ct−n2−12‖xirxna‖L1+Ct−n2+r−12‖xna‖L1 Turn MathJax on for 0≤r