Geodesic
Some Open Sets for Which the Heat Equation is Simplicial
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 455-472

Voir la notice de l'article provenant de la source Cambridge University Press

Let us associate to each open set U ⊂ R n+1 the space HU of real functions f which are twice continuously differentiable in x 1 . . . xn and once continuously differentiable in x n+1 and which satisfy the heat equation: Δf = ∂f/∂x n+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 HU harmonic in U. 
Taylor, Peter D. Some Open Sets for Which the Heat Equation is Simplicial. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 455-472. doi: 10.4153/CJM-1974-045-3
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