Some sharp null-form type estimates for the Klein--Gordon equation

Autor:	Cunanan, Jayson, Shiraki, Shobu
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.03142 Zobrazit plný text záznamu View this record from Arxiv