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A local Hopf lemma for solutions of the one dimensional heat equation

Published online by Cambridge University Press:  22 January 2016

Noriaki Suzuki
Noriaki Suzuki*
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan, nsuzuki@math.nagoya-u.ac.jp
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Abstract.

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The boundary behavior of solutions of the heat equation (temperature functions) is investigated. It is proved that a temperature function is identically equal to zero if it vanishes of finite order at some lateral boundary point where it attains a local minimum.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 146 , June 1997 , pp. 1 - 12
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

References

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