| 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 |
Abstract
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.
|
| Subjects |
Infinite Network
Sobolev-Poincare's Inequality
the Smallest Eigen-value
the Discrete Laplacian
|
| 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
|
