Generic heat diffusion is scalar controllable
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- by Lawrence Markus
- Proc. Amer. Math. Soc. 114 (1992), 261-262
- DOI: https://doi.org/10.1090/S0002-9939-1992-1056681-0
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Abstract:
The partial differential equation for heat diffusion on a closed manifold $M$ is approximately controllable by a single distributed controller, under generic conditions. But we also give examples, where $M$ is a torus surface, for which no finite number of scalar controllers suffice.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 261-262
- MSC: Primary 93B05; Secondary 35K57, 58G30, 93C20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1056681-0
- MathSciNet review: 1056681