Remarks on some dispersive estimates

Yonggeun Cho, Tohru Ozawa, Suxia Xia

研究成果: Article

38 引用 (Scopus)

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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].

元の言語English
ページ(範囲)1121-1128
ページ数8
ジャーナルCommunications on Pure and Applied Analysis
10
発行部数4
DOI
出版物ステータスPublished - 2011 7 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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