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A STRONGER REFLECTION PRINCIPLE FOR TEMPERATURE FUNCTIONS

Published online by Cambridge University Press:  01 April 2000

SOON-YEONG CHUNG
SOON-YEONG CHUNG
Affiliation:
Department of Mathematics, Sogang University, Seoul 121-742, Korea; [email protected]
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Abstract

A reflection principle is given for temperature functions on a rectangle in the plane with much weaker conditions than the classical continuity to zero at the boundary, which improves a continuous version of Widder.

As an application of this result a uniqueness theorem is given for solutions of the Cauchy problem of the heat equation on a semi-infinite rod.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 543 - 554
Copyright
The London Mathematical Society 2000

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