Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets
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 pro...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/361904 |
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| Summary: | 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). |
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| ISSN: | 1085-3375 1687-0409 |