Some sharp null-form type estimates for the Klein--Gordon equation
Analysis of PDEs
2022-01-03 v2 Classical Analysis and ODEs
Abstract
We establish a sharp bilinear estimate for the Klein--Gordon propagator in the spirit of recent work of Beltran--Vega. Our approach is inspired by work in the setting of the wave equation due to Bez, Jeavons and Ozawa. As a consequence of our main bilinear estimate, we deduce several sharp estimates of null-form type and recover some sharp Strichartz estimates found by Quilodr\'an and Jeavons.
Cite
@article{arxiv.2102.03142,
title = {Some sharp null-form type estimates for the Klein--Gordon equation},
author = {Jayson Cunanan and Shobu Shiraki},
journal= {arXiv preprint arXiv:2102.03142},
year = {2022}
}
Comments
21 pages, 2 figures