島根大学総合理工学部紀要.シリーズB

ダウンロード数 : ?
島根大学総合理工学部紀要.シリーズB 41
2008 発行

Parabolic Networks

Anandam Victor
ファイル
内容記述(抄録等)
In an infinite network N without positive potentials (called a parabolic network), a generalized version of the Dirichlet problem is solved in an arbitrary subset of N. This solution is shown to play a pivotal role in the potential-theoretic study in N, such as the construction of an analogue of the logarithmic potential in N, balayage, harmonic and superharmonic extension condenser principle etc.