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On Positive Solutions of the Heat Equation

Published online by Cambridge University Press:  22 January 2016

Masasumi Kato
Masasumi Kato*
Affiliation:
Suzuka College of Technology
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Consider the positive and twice continuously differentiable solutions u of the heat equation

in an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.

In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 30 , August 1967 , pp. 203 - 207
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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