TY - GEN
T1 - On mass critical half-wave equation in 3D
AU - Georgiev, Vladimir
AU - Li, Yuan
N1 - Funding Information:
VG was partially supported by Project 2017“Problemi stazionari e di evoluzione nelle equazioni di campo nonlin-eari” 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 project PRIN 2020XB3EF.
Publisher Copyright:
© 2022 Author(s).
PY - 2022/4/5
Y1 - 2022/4/5
N2 - 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-.
AB - 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-.
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U2 - 10.1063/5.0083927
DO - 10.1063/5.0083927
M3 - Conference contribution
AN - SCOPUS:85128022026
T3 - AIP Conference Proceedings
BT - 8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
A2 - Slavova, Angela
PB - American Institute of Physics Inc.
T2 - 8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
Y2 - 6 September 2021 through 10 September 2021
ER -