Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets

被引：3

作者：

Zheng, Guojie ^{[1
,2
]}

Ali, M. Montaz ^{[2
,3
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[2] Univ Witwatersrand Wits, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[3] Univ Witwatersrand Wits, TCSE, Fac Engn & Built Environm, ZA-2050 Johannesburg, South Africa

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

HEAT-EQUATION; CONTROLLABILITY; TIME;

D O I：

10.1155/2014/361904

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an observability estimate for the fractional order parabolic equations evolved in a bounded domain Omega of R-n. The observation region is Fx omega, where omega and F are measurable subsets of Omega and (0,T), respectively, with positive measure. This inequality is equivalent to the null controllable property for a linear controlled fractional order parabolic equation. The building of this estimate is based on the Lebeau-Robbiano strategy and a delicate result in measure theory provided in Phung and Wang (2013).

引用

页数：5

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