Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation (Q2719161)
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scientific article; zbMATH DE number 1608825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation |
scientific article; zbMATH DE number 1608825 |
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21 June 2001
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linear and semilinear parabolic equations
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controllability
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observability
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point controls
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null-controllability
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Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation (English)
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The author shows that in one space dimension \((\Omega= (0,1))\) the same approximate and exact null-controllability results in \(L^2 (\Omega)\) can be achieved by employing at most two mobile point controls with support on the curves properly selected within an arbitrary, subdomain of \(Q_T= (0,1) \times(0,T)\). Such curves can be described by a certain differential inequality and explicit examples are provided.
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