Mean value densities for temperatures

N. Suzuki; N. A. Watson

N. Suzuki ; N. A. Watson

Colloquium Mathematicae, Tome 96 (2003), p. 87-96 / Harvested from The Polish Digital Mathematics Library

Résumé

A positive measurable function K on a domain D in $ℝ^{n + 1}$ is called a mean value density for temperatures if $u (0, 0) = \int \int_{D} K (x, t) u (x, t) d x d t$ for all temperatures u on D̅. We construct such a density for some domains. The existence of a bounded density and a density which is bounded away from zero on D is also discussed.

Publié le : 2003-01-01

Zbl 1047.35049

EUDML-ID : urn:eudml:doc:284946

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N. Suzuki; N. A. Watson. Mean value densities for temperatures. Colloquium Mathematicae, Tome 96 (2003) pp. 87-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-7/