Volume mean densities for the heat equation

DOI10.1007/S11118-014-9411-ZzbMath1307.35014OpenAlexW1999673952MaRDI QIDQ471048

Wolfhard Hansen, Ivan Netuka

Publication date: 13 November 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9411-z

zbMATH Keywords

representing measurefulks measureheat ballmean value density

Mathematics Subject Classification ID

Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Axiomatic potential theory (31D05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simplicial cones in potential theory
• Potential theory. An analytic and probabilistic approach to balayage
• Harmonic spaces and their potential theory
• Uniform approximation of harmonic functions
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Applications of Choquet simplexes to elliptic and parabolic boundary value problems
• Heat balls and Fulks measures
• Volume Densities with the Mean Value Property for Harmonic Functions
• Mean value densities for temperatures
• Minimum-Stable Wedges of Semicontinuous Functions.
• A Mean Value Theorem for the Heat Equation
• Densities with the mean value property for harmonic functions in a Lipschitz domain
• Classical potential theory and its probabilistic counterpart.

This page was built for publication: Volume mean densities for the heat equation