@article{be8d587cacf44548af5cbef4d72cc9a0,
title = "Blowup dynamics for mass critical half-wave equation in 3D",
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−.",
keywords = "Blow-up, Ground state mass, Half-wave equation, Mass critical",
author = "Vladimir Georgiev and Yuan Li",
note = "Funding Information: VG was partially supported by Project 2017 “Problemi stazionari e di evoluzione nelle equazioni di campo nonlineari” of INdAM , GNAMPA - Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni, by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences , by Top Global University Project, Waseda University and the Project PRA 2018 49 of University of Pisa . YL was supported by the China Scholarship Council ( 201906180041 ) and the NSF of China ( 12075102 ). Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = oct,
day = "1",
doi = "10.1016/j.jfa.2021.109132",
language = "English",
volume = "281",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "7",
}