On shorttime bilinear Strichartz estimates and applications to improve the energy method
Analysis of PDEs
2020-06-29 v2
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.
Cite
@article{arxiv.1810.04406,
title = {On shorttime bilinear Strichartz estimates and applications to improve the energy method},
author = {Robert Schippa},
journal= {arXiv preprint arXiv:1810.04406},
year = {2020}
}
Comments
correction regarding period lengths of solutions to Zakharov-Kuznetsov equation