Remarks on some dispersive estimates

Yonggeun Cho, Tohru Ozawa, Suxia Xia

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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].

Original languageEnglish
Pages (from-to)1121-1128
Number of pages8
JournalCommunications on Pure and Applied Analysis
Volume10
Issue number4
DOIs
Publication statusPublished - 2011 Jul 1

Keywords

  • Bessel functions
  • Dispersive equations
  • Dispersive estimate
  • Oscillatory integral
  • Strichartz estimate
  • Time decay

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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