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Some Open Sets for Which the Heat Equation is Simplicial

Published online by Cambridge University Press:  20 November 2018

Peter D. Taylor
Peter D. Taylor*
Affiliation:
Queen's University, Kingston, Ontario
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Let us associate to each open set U ⊂ Rn+1 the space HU of real functions f which are twice continuously differentiable in x1 . . . xn and once continuously differentiable in xn+1 and which satisfy the heat equation: Δf = ∂f/∂xn+1 where Then we have what in the axiomatic of Bauer is called a strong harmonic space [2, p. 61]. We will call functions of HUharmonic in U.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 455 - 472
Copyright
Copyright © Canadian Mathematical Society 1974

References

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