Global Carleman estimates for linear stochastic Kawahara equation and their applications

被引：10

作者：

Gao, Peng ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2016年 / 28卷 / 03期

关键词：

linear stochastic Kawahara equation; Carleman estimate; unique continuation property; SCHRODINGER-EQUATIONS; EXACT CONTROLLABILITY; NULL CONTROLLABILITY; PARABOLIC EQUATIONS; BOUNDED DOMAIN;

D O I：

10.1007/s00498-016-0173-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, we first establish an identity for a stochastic fifth-order Kawahara operator, and then, applying this identity, weobtain two global Carleman estimates for linear stochastic Kawahara equation. Based on these estimates, we obtain two types of unique continuation property for linear stochastic Kawahara equation.

引用

页数：22

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