On mass critical half-wave equation in 3D

Vladimir Georgiev*, Yuan Li

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the half-wave equation iui=Du-|u|23u in three dimensions and in the mass critical case. For initial data u(t0,x)=u0(x)∈Hrad1/2+δ(ℝ 3) with radial symmetry, we construct a class of the blowup solutions with the blow up rate ||D12u(t)||2∼C(u0)|t|as t→0-.

Original languageEnglish
Title of host publication8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
EditorsAngela Slavova
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441866
DOIs
Publication statusPublished - 2022 Apr 5
Event8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021 - St. Constantin and Helena, Bulgaria
Duration: 2021 Sep 62021 Sep 10

Publication series

NameAIP Conference Proceedings
Volume2459
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
Country/TerritoryBulgaria
CitySt. Constantin and Helena
Period21/9/621/9/10

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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