Uniqueness results for Zakharov-Kuznetsov equation

被引：12

作者：

Cossetti, Lucrezia ^{[1
]}

Fanelli, Luca ^{[2
]}

Linares, Felipe ^{[3
]}

机构：

[1] BCAM, Bilbao, Spain

[2] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy

[3] IMPA, Rio De Janeiro, Brazil

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 44卷 / 06期

关键词：

Dispersive equations; unique continuation property; UNCERTAINTY PRINCIPLE; WELL-POSEDNESS; CAUCHY-PROBLEM; CONTINUATION; SUPPORT; DECAY;

D O I：

10.1080/03605302.2019.1581803

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study uniqueness properties of solutions to the Zakharov-Kuznetsov equation of plasma physic. Given two sufficiently regular solutions u(1), u(2), we prove that, if decays fast enough at two distinct times, then u(1) = u(2.)

引用

页码：504 / 544

页数：41