On shorttime bilinear Strichartz estimates and applications to improve the energy method
arXiv:1810.04406 · doi:10.1016/j.na.2020.111910
Abstract
A refinement of the energy method is introduced for dispersive PDE with derivative nonlinearity posed on tori. Key ingredient is a shorttime bilinear Strichartz estimate, which is used in a known combination of perturbative and energy arguments.
correction regarding period lengths of solutions to Zakharov-Kuznetsov equation