| File | |
| 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 |
Abstract
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
|
