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

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	719-737
Number of pages	19
Journal	Mathematika
Volume	62
Issue number	3
DOIs	https://doi.org/10.1112/S0025579316000012
Publication status	Published - 2016

ASJC Scopus subject areas

Mathematics(all)

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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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doi = "10.1112/S0025579316000012",

language = "English",

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publisher = "University College London",

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AU - Bez, Neal

AU - Jeavons, Chris

AU - Ozawa, Tohru

N1 - 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 © 2016 University College London.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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DO - 10.1112/S0025579316000012

M3 - Article

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JO - Mathematika

JF - Mathematika

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Some sharp bilinear space-time estimates for the wave equation

Abstract

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