Local well-posedness of the fifth-order KDV-type equations on the half-line

Márcio Cavalcante, Chulkwang Kwak

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This paper is a continuation of authors’ previous work [6]. We extend the argument [6] to fifth-order KdV-type equations with different nonlinearities, in specific, where the scaling argument does not hold. We establish the X s,b nonlinear estimates for b < 1 2 , which is almost optimal compared to the standard X s,b nonlinear estimates for b > 2 1 [8, 17]. As an immediate conclusion, we prove the local well-posedness of the initial-boundary value problem (IBVP) for fifth-order KdV-type equations on the right half-line and the left half-line.

Original languageEnglish
Pages (from-to)2607-2661
Number of pages55
JournalCommunications on Pure and Applied Analysis
Volume18
Issue number5
DOIs
StatePublished - Sep 2019

Keywords

  • Fifth-order KdV-type equations
  • Initial-boundary value problem
  • Local well-posedness

Fingerprint

Dive into the research topics of 'Local well-posedness of the fifth-order KDV-type equations on the half-line'. Together they form a unique fingerprint.

Cite this