| File | |
| language |
eng
|
| Author |
Murakami, Atsushi
Yamasaki, Maretsugu
|
| Description | 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.
|
| Subject | Infinite Network
Sobolev-Poincare's Inequality
the Smallest Eigen-value
the Discrete Laplacian
|
| Journal 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
|
| ISSN | 13427121
|
| Published Date | 2001-03
|
| NCID | AA11157123
|
| Publisher | 島根大学総合理工学部
|
| NII Type |
Departmental Bulletin Paper
|
| Format |
PDF
|
| Text Version |
出版社版
|
| OAI-PMH Set |
Interdisciplinary Graduate School of Science and Engineering
|
| 他の一覧 |
