Remarks on some dispersive estimates

Yonggeun Cho; Tohru Ozawa; Suxia Xia

doi:10.3934/cpaa.2011.10.1121

Remarks on some dispersive estimates

Yonggeun Cho, Tohru Ozawa, Suxia Xia

先進理工学部

研究成果: Article › 査読

42 被引用数 (Scopus)

抄録

In this paper we consider the initial value problem for i∂tu + ω(|r|)u = 0. Under suitable smoothness and growth conditions on ω, we derive dispersive estimates which is the generalization of time decay and Strichartz estimates. We unify and also simplify dispersive estimates by utilizing the Bessel function. Another main ingredient of this paper is to revisit oscillatory integrals of [2].

本文言語	English
ページ（範囲）	1121-1128
ページ数	8
ジャーナル	Communications on Pure and Applied Analysis
巻	10
号	4
DOI	https://doi.org/10.3934/cpaa.2011.10.1121
出版ステータス	Published - 2011 7

ASJC Scopus subject areas

Analysis
Applied Mathematics

文献へのアクセス

10.3934/cpaa.2011.10.1121

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引用スタイル

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KW - Dispersive equations

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KW - Oscillatory integral

KW - Strichartz estimate

KW - Time decay

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