Strichartz and local smoothing estimates for the fractional Schrödinger equations over fractal time

Jin Bong Lee, Sanghyuk Lee, Luz Roncal

We obtain Strichartz-type estimates for the fractional Schrödinger operator $f\mapsto e^{it(-\hat{I}”{)}^{{\hat{I}}^3/2}}f$ over a time set $E$ of fractal dimension. To obtain those estimates ca…