File | |
Title |
A Weighted Sobolev-Poincare's Inequality on Infinite Networks
|
Creator |
Murakami Atsushi
Yamasaki Maretsugu
|
Source Title |
島根大学総合理工学部紀要. シリーズB
|
Volume | 34 |
Start Page | 45 |
End Page | 52 |
Journal Identifire |
ISSN 13427121
|
Descriptions |
Inequalities on networks have played important roles in the theory of networks. We study the famous Sobolev-Poincare's inequality on infinite net-works in the weighted form. This inequality is closely related to the smallest eigenvalue of a weighted discrete Laplacian. We give a dual characterization for the smallest eigenvalue.
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Subjects | |
Language |
eng
|
Resource Type | departmental bulletin paper |
Publisher |
島根大学総合理工学部
|
Date of Issued | 2001-03 |
Publish Type | Version of Record |
Access Rights | open access |
Relation |
[NCID] AA11157123
|