Remarks on some dispersive estimates

Yonggeun Cho, Tohru Ozawa, Suxia Xia

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
10
4
DOI
出版ステータスPublished - 2011 7

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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