Mean value densities for temperatures
Noriaki Suzuki, NEIL A. WATSON · Colloquium Mathematicum · 2003
A positive measurable function $K$ on a domain $D$ in ${{\mathbb R}}^{n+1}$ is called a mean value density for temperatures if $u(0,0) = \int \int _D K(x,t)u(x,t)\, dx\, dt$ for all temperatures $u$ on $\, \overline {\! D}$. We construct such a density fo