| File | |
| Title |
DISCRETE MULTI-HARMONIC GREEN FUNCTIONS
|
| Creator | |
| Source Title |
島根大学総合理工学部紀要.シリーズB
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
|
| Volume | 54 |
| Start Page | 1 |
| End Page | 14 |
| Journal Identifire |
ISSN 1342-7121
|
| Descriptions |
The harmonic Green function ga of an infinite network defined as the unique Dirichlet potential which satisfies Δga = −δa. The biharmonic Green function ga(2) (x) is defined by the convolution of gx and ga in [6]. It is known that Δ2ga(2) = δa if ga(2) is finite and that ga(2) is a Dirichlet potential if ga has a finite Green energy. In this paper, we define the k-harmonic Green function ga(k) (x) as the convolution of gx(k−1) and ga if it converges. We study some potential theoretic properties related to ga(k).
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
|
| Date of Issued | 2021-01-30 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
ソウゴウ リコウ ガクブ
|
