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A Stronger Reflection Principle for Temperature Functions
Author(s) -
Chung SoonYeong
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799008480
Subject(s) - reflection (computer programming) , uniqueness , mathematics , rectangle , mathematical analysis , uniqueness theorem for poisson's equation , plane (geometry) , cauchy distribution , boundary value problem , heat equation , cauchy problem , boundary (topology) , initial value problem , geometry , computer science , programming language
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.
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