Parabolic Networks

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c0020041001.pdf 226 KB エンバーゴ : 2008-03-06
Title
Parabolic Networks
Creator
Anandam Victor
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 41
Start Page 1
End Page 11
Journal Identifire
ISSN 13427121
Descriptions
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.
Subjects
Dirichlet problem
Logarithmic potential
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 2008
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123