Some sharp bilinear space-time estimates for the wave equation

Neal Bez; Chris Jeavons; Tohru Ozawa

doi:10.1112/S0025579316000012

Some sharp bilinear space-time estimates for the wave equation

Neal Bez, Chris Jeavons, Tohru Ozawa

先進理工学部

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

We prove a family of sharp bilinear space-time estimates for the half-wave propagator e^it-Δ. As a consequence, for radially symmetric initial data, we establish sharp estimates of this kind for a range of exponents beyond the classical range.

本文言語	English
ページ（範囲）	719-737
ページ数	19
ジャーナル	Mathematika
巻	62
号	3
DOI	https://doi.org/10.1112/S0025579316000012
出版ステータス	Published - 2016

ASJC Scopus subject areas

数学 (全般)

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10.1112/S0025579316000012

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title = "Some sharp bilinear space-time estimates for the wave equation",

abstract = "We prove a family of sharp bilinear space-time estimates for the half-wave propagator eit-Δ. As a consequence, for radially symmetric initial data, we establish sharp estimates of this kind for a range of exponents beyond the classical range.",

author = "Neal Bez and Chris Jeavons and Tohru Ozawa",

note = "Funding Information: The first author was supported by JSPS Kakenhi grant number 26887008. The second author acknowledges support from the Universitas 21 PhD Scholarship 2014 (University of Birmingham). Publisher Copyright: Copyright {\textcopyright} 2016 University College London.",

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Some sharp bilinear space-time estimates for the wave equation

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