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).
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页数：5
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