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

Satoshi Masaki, Junichi Segata

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume50
Issue number3
DOIs
Publication statusPublished - Jan 1 2018
Externally publishedYes

Fingerprint

Korteweg-de Vries equation
Strichartz Estimates
Refinement
Scattering
Korteweg-de Vries Equation
Generalized Equation
Restriction
Estimate

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Refinement of strichartz estimates for airy equation in nondiagonal case and its application. / Masaki, Satoshi; Segata, Junichi.

In: SIAM Journal on Mathematical Analysis, Vol. 50, No. 3, 01.01.2018, p. 2839-2866.

Research output: Contribution to journalArticle

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