Uniqueness results for Zakharov-Kuznetsov equation

被引：13

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

共 31 条

[1] On localization in the continuous Anderson-Bernoulli model in higher dimension [J].

Bourgain, J ;

Kenig, CE .

INVENTIONES MATHEMATICAE, 2005, 161 (02) :389-426

[2] On uniqueness properties of solutions of the Zakharov-Kuznetsov equation [J].

Bustamante, Eddye ;

Isaza, Pedro ;

Mejia, Jorge .

JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 264 (11) :2529-2549

[3] On the support of solutions to the Zakharov-Kuznetsov equation [J].

Bustamante, Eddye ;

Isaza, Pedro ;

Mejia, Jorge .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (10) :2728-2736

[4] Uniqueness properties of higher order dispersive equations [J].

Dawson, Liana L. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (01) :199-236

[5]

Escauriaza L, 2008, J EUR MATH SOC, V10, P883

[6] On uniqueness properties of solutions of the k-generalized KdV equations [J].

Escauriaza, L. ;

Kenig, C. E. ;

Ponce, G. ;

Vega, L. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 244 (02) :504-535

[7] On uniqueness properties of solutions of Schrodinger equations [J].

Escauriaza, L. ;

Kenig, C. E. ;

Ponce, G. ;

Vega, L. .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (12) :1811-1823

[8]

Escauriaza L, 2006, MATH RES LETT, V13, P441

[9]

Escauriaza L, 2008, MATH RES LETT, V15, P957

[10] THE SHARP HARDY UNCERTAINTY PRINCIPLE FOR SCHRODINGER EVOLUTIONS [J].

Escauriaza, Luis ;

Kenig, Carlos E. ;

Ponce, Gustavo ;

Vega, Luis .

DUKE MATHEMATICAL JOURNAL, 2010, 155 (01) :163-187

← 1 2 3 4 →