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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Generic heat diffusion is scalar controllable


Author: Lawrence Markus
Journal: Proc. Amer. Math. Soc. 114 (1992), 261-262
MSC: Primary 93B05; Secondary 35K57, 58G30, 93C20
MathSciNet review: 1056681
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1056681-0
PII: S 0002-9939(1992)1056681-0
Article copyright: © Copyright 1992 American Mathematical Society