Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets

Guojie Zheng and M. Montaz Ali

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We establish an observability estimate for the fractional order parabolic equations evolved in a bounded domain Ω of ℝn. The observation region is F × ω, where ω and F are measurable subsets of Ω 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).

Date: 2014
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https://doi.org/10.1155/2014/361904

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:361904

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