Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation

Amin Esfahani, Achenef Tesfahun

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, the sixth-order Boussinesq equation is studied. We extend the local well-posedness theory for this equation with quadratic and cubic nonlinearities to the high dimensional case. In spite of having the "bad"fourth term u in the equation, we derive some dispersive estimates leading to the existence of local solutions which also improves the previous results in the cubic case. In addition, we show persistence of spatial analyticity of solutions for the cubic nonlinearity.

Original languageEnglish
Article number2450005
JournalCommunications in Contemporary Mathematics
DOIs
Publication statusAccepted/In press - 2024

Keywords

  • Boussinesq equation
  • dispersive estimates
  • local well-posedness
  • radius of analyticity of solution

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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