Mean value densities for temperatures

N. Suzuki, and N. A. Watson. "Mean value densities for temperatures." Colloquium Mathematicae 98.1 (2003): 87-96. <http://eudml.org/doc/284946>.

@article{N2003,
abstract = {A positive measurable function K on a domain D in $ℝ ^\{n+1\}$ is called a mean value density for temperatures if $u(0,0) = ∫∫_\{D\} K(x,t)u(x,t)dxdt$ 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.},
author = {N. Suzuki, N. A. Watson},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {87-96},
title = {Mean value densities for temperatures},
url = {http://eudml.org/doc/284946},
volume = {98},
year = {2003},
}

TY - JOUR
AU - N. Suzuki
AU - N. A. Watson
TI - Mean value densities for temperatures
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 1
SP - 87
EP - 96
AB - A positive measurable function K on a domain D in $ℝ ^{n+1}$ is called a mean value density for temperatures if $u(0,0) = ∫∫_{D} K(x,t)u(x,t)dxdt$ 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.
LA - eng
UR - http://eudml.org/doc/284946
ER -