File
language
eng
Author
Kurata, Hisayasu
Yamasaki, Maretsugu
Description
Discrete q-Green potentials related to the equation Δu􀀀qu = 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.
Journal Title
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
Volume
51
Start Page
7
End Page
21
ISSN
1342-7121
Published Date
2018-03
Publisher
総合理工学部
Publisher Aalternative
The Interdisciplinary Graduate School of Science and Engineering
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Faculty of Science and Engineering