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 Quilodrán and Jeavons.
Funding Statement
The first author was supported by JSPS Postdoctoral Research Fellowship (No. 18F18020), and the second author was supported by JSPS KAKENHI Grant-in-Aid for JSPS Fellows (No. 20J11851).
Citation
Jayson CUNANAN. Shobu SHIRAKI. "Some sharp null-form type estimates for the Klein–Gordon equation." J. Math. Soc. Japan 75 (2) 573 - 601, April, 2023. https://doi.org/10.2969/jmsj/86418641
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