Mean value densities for temperatures

• Autorzy: N. Suzuki , N. A. Watson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K05: Heat equation
• 31B05: Harmonic, subharmonic, superharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 1
• Strony: 87-96

Daty

wydano

2003

Twórcy

autor

N. Suzuki

• Graduate School of Mathematics, Nagoya University, Nagoya, Japan

autor

N. A. Watson

• Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand

Identyfikatory

DOI

10.4064/cm98-1-7