Smoothing And Dispersive Estimates For 1d Schrödinger Equations With BV Coefficients And Applications

N. Burq, F. Planchon

We prove smoothing estimates for Schrödinger equations $i{\partial }_t\varphi +{\partial }_x(a(x){\partial }_x\varphi )=0$ with $a(x)\in \mathrm{BV}$, the space of functions with bounded total varia…