A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1

Tohru Ozawa; Keith M. Rogers

doi:10.1093/imrn/rns254

A sharp bilinear estimate for the Klein-Gordon equation in ℝ¹⁺¹

Tohru Ozawa, Keith M. Rogers^*

^*Corresponding author for this work

School of Advanced Science and Engineering

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

5 Citations (Scopus)

Abstract

We prove a sharp bilinear estimate for the one-dimensional Klein-Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.

Original language	English
Pages (from-to)	1367-1378
Number of pages	12
Journal	International Mathematics Research Notices
Volume	2014
Issue number	5
DOIs	https://doi.org/10.1093/imrn/rns254
Publication status	Published - 2014 Nov

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rns254

Cite this

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abstract = "We prove a sharp bilinear estimate for the one-dimensional Klein-Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.",

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A sharp bilinear estimate for the Klein-Gordon equation in ℝ¹⁺¹

Abstract

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