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

被引：3
|
作者：
Georgiev, Vladimir [1 ,2 ,3 ]
Li, Yuan [1 ,4 ]
机构：
[1] Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56100 Pisa, Italy
[2] Waseda Univ, Fac Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan
[3] IMI BAS, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria
[4] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 281卷 / 07期
关键词：
Half-wave equation; Mass critical; Blow-up; Ground state mass; CAUCHY-PROBLEM; UP SOLUTIONS; UNIQUENESS; EXISTENCE; NLS;
D O I：
10.1016/j.jfa.2021.109132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the half-wave equation iu(t) = Du - vertical bar u vertical bar(2/3)u in three dimensions and in the mass critical. For initial data u(t(0), x) = u(0) (x) is an element of H-rad(1/2+delta) (R-3) with radial symmetry, we construct a new class of the radial blowup solutions with the blow up rate parallel to D(1/2)u(t)parallel to 2 similar to C(u(0))/vertical bar t vertical bar as t -> 0(-). (C) 2021 Elsevier Inc. All rights reserved.
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页数：34
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