Refinement of strichartz estimates for airy equation in nondiagonal case and its application

Satoshi Masaki, Jun Ichi Segata

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper, we give an improvement of nondiagonal Strichartz estimates for the Airy equation by using a Morrey-type space. As its applications, we prove the small data scattering and the existence of special nonscattering solutions, which are minimal in a suitable sense, to the mass-subcritical generalized Korteweg–de Vries equation. Especially, the use of a refined nondiagonal estimate removes several technical restrictions on the previous work [S. Masaki and J. Segata, Existence of a Minimal Non-Scattering Solution to the Mass-Subcritical Generalized Korteweg-de Vries Equation, preprint, arXiv:1602.05331] about the existence of the special non-scattering solution.

Original languageEnglish
Pages (from-to)2839-2866
Number of pages28
JournalSIAM Journal on Mathematical Analysis
Issue number3
Publication statusPublished - 2018


  • Airy equation
  • Generalized Korteweg–de Vries equation
  • Scattering problem
  • Strichartz estimate
  • Threshold solution

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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