Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation

Research output: Contribution to journalArticle

Abstract

We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solutions that exist for indefinite times as well as solutions that blowup in finite time. We also derive an explosion criterion for the equation, and we give a sharp estimate of the existence time for solutions with smooth initial data.

Details

Authors
  • Zhaoyang Yin
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • estimate of existence time, a sharp, blowup phenomena, local well-posedness, global solutions, a nonlinearly dispersive wave equation
Original languageEnglish
Pages (from-to)391-419
JournalJournal of Evolution Equations
Volume4
Issue number3
Publication statusPublished - 2004
Publication categoryResearch
Peer-reviewedYes