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Systems of Partial Differential Equations Which Generalize the Heat Equation

Published online by Cambridge University Press:  20 November 2018

I. I. Hirschman Jr.
I. I. Hirschman Jr.*
Affiliation:
Washington University, Saint Louis
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The distribution of heat in an infinite rod is closely bound up with the theory of the Weierstrass transform. This connection is exhibited most clearly in the theory of Widder [3]. Consider the heat equation

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 118 - 128
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Bochner, S., Fouriersche Integrale (Leipzig, 1932).Google Scholar
2. Watson, G. N., A Treatise on the theory of Bessel functions (Cambridge, 1922).Google Scholar
3. Widder, D. V., Positive temperatures in an infinite rod, Trans. Amer. Math. Soc., 55 (1944), 85–95.Google Scholar