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| Controllability of the Heat Equation with a Control Acting on a Measurable Set |
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Citation： |
Hang YU.Controllability of the Heat Equation with a Control Acting on a Measurable Set[J].Chinese Annals of Mathematics B,2012,33(1):149~160 |
| Page view： 2615
Net amount： 2545 |
Authors： |
Hang YU; |
Foundation： |
the National Natural Science Foundation of China (No. 10671040), the Foundation for the Author of National Excellent Doctoral Dissertation of China (No.200522) and the Program for the New Century Excellent Talents in University of China (No. 06-0359). |
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| Abstract： |
The paper deals with the controllability of a heat equation. It is well-knownthat the heat equation yt ?Δy = uχE in (0, T)×Ω with homogeneous Dirichlet boundaryconditions is null controllable for any T > 0 and any open nonempty subset E of Ω. Inthis note, the author studies the case that E is an arbitrary measurable set with positivemeasure. |
Keywords： |
Heat equation, Measurable sets, Null controllability, Observability inequality |
Classification： |
93B05,93B07,93D15 |
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