On the support of solutions to the fifth-order Kadomtsev-Petviashvili II equation in three-dimensional space

被引：0
|
作者：
Fu, Ying [1 ,2 ]
Gao, Juanjuan
机构：
[1] Northwest Univ, Ctr Nonlinear Studies, Xian, Shaanxi, Peoples R China
[2] Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China
来源：
APPLICABLE ANALYSIS | 2018年 / 97卷 / 16期
关键词：
The fifth-order -dimensional Kadomtsev-Petviashvili II equation; unique continuation property; Carleman type estimates; compact support; UNIQUE CONTINUATION; WELL-POSEDNESS; CAUCHY-PROBLEM; EVOLUTION;
D O I：
10.1080/00036811.2017.1392015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considered herein is the Cauchy problem associated with the fifth-order (3 + 1)-dimensional Kadomtsev-Petviashvili II equation. It is proved that, if a sufficiently smooth solution to this problem is supported compactly at two different instants of time, then it vanishes identically.
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页码：2794 / 2817
页数：24
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