2016年
Asymptotic Behavior of Eigenvalues of the Laplacian on a Thin Domain under the Mixed Boundary Condition
INDIANA UNIVERSITY MATHEMATICS JOURNAL
- ,
- 巻
- 65
- 号
- 3
- 開始ページ
- 867
- 終了ページ
- 898
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1512/iumj.2016.65.5831
- 出版者・発行元
- INDIANA UNIV MATH JOURNAL
We study the eigenvalue problem of the Laplacian on a thin domain under a mixed boundary condition by using a pure variational approach. We obtain the detailed asymptotic behavior of such eigenvalues when the domain becomes thinner and shrinks to a surface, and we establish the characteristic geometric dependency. Furthermore, we also present an application to a certain bifurcation problem arising in population dynamics.
- リンク情報
- ID情報
-
- DOI : 10.1512/iumj.2016.65.5831
- ISSN : 0022-2518
- eISSN : 1943-5258
- Web of Science ID : WOS:000381237600007