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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generic heat diffusion is scalar controllable
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by Lawrence Markus PDF
Proc. Amer. Math. Soc. 114 (1992), 261-262 Request permission


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
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 261-262
  • MSC: Primary 93B05; Secondary 35K57, 58G30, 93C20
  • DOI:
  • MathSciNet review: 1056681