Blowup dynamics for mass critical half-wave equation in 3D

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the half-wave equation iut=Du−|u|[Formula presented]u in three dimensions and in the mass critical. For initial data u(t0,x)=u0(x)∈Hrad1/2+δ(R3) with radial symmetry, we construct a new class of the radial blowup solutions with the blow up rate ‖D[Formula presented]u(t)‖2∼[Formula presented] as t→0.

Original languageEnglish
Article number109132
JournalJournal of Functional Analysis
Volume281
Issue number7
DOIs
Publication statusPublished - 2021 Oct 1

Keywords

  • Blow-up
  • Ground state mass
  • Half-wave equation
  • Mass critical

ASJC Scopus subject areas

  • Analysis

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