| File | |
| Title |
DISCRETE q-GREEN POTENTIALS WITH FINITE ENERGY
|
| 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 | 51 |
| Start Page | 7 |
| End Page | 21 |
| Journal Identifire |
ISSN 1342-7121
|
| Descriptions |
Abstract
Discrete q-Green potentials related to the equation Δuqu = 0 on an in nite network were studied in [12] as a discrete analogue to [9]. We study some properties of q-Green potentials with nite q-Green energy. The q-Dirichlet energy plays an important role instead of the Dirichlet sum. Our aim is to show that results obtained in [7] in case q = 0 hold similarly even in case q 0. We show that every q-Dirichlet potential can be expressed as a difference of two q-Green potentials with nite q-Green energy.
|
| 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 | 2018-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
ソウゴウ リコウ ガクブ
|
