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On Positive Solutions of the Heat Equation
Published online by Cambridge University Press: 22 January 2016
Extract
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 ).
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966
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