The dirichlet problem for ∞-harmonic functions on a network

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Title
The dirichlet problem for ∞-harmonic functions on a network
Creator
Kurata Hisayasu
Source Title
島根大学総合理工学研究科紀要. シリーズB
Volume 47
Start Page 1
End Page 17
Journal Identifire
ISSN 13427121
Descriptions
We define the notion of ∞-harmonic functions on a network as a discrete version of that on a euclidean domain, and show some properties of such functions. We discuss the Dirichlet problems for discrete ∞-harmonic functions. We also show that limits of discrete p-harmonic functions as p → ∞ are in factdiscrete ∞-harmonic.
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学研究科
Date of Issued 2014-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA12638295