An infinite-dimensional Evans function theory for elliptic boundary value problems

Jian Deng, Shunsaku Nii

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

抄録

An infinite-dimensional Evans function E (λ) and a stability index theorem are developed for the elliptic eigenvalue problem in a bounded domain Ω ⊂ Rm. The number of zero points of the Evans function in a bounded, simply connected complex domain D is shown to be equal to the number of eigenvalues of the corresponding elliptic operator in D. When the domain Ω is star-shaped, an associated unstable bundle E (D) based on D is constructed, and the first Chern number of E (D) also gives the number of eigenvalues of the elliptic operator inside D.

元の言語英語
ページ(範囲)753-765
ページ数13
ジャーナルJournal of Differential Equations
244
発行部数4
DOI
出版物ステータス出版済み - 2 15 2008

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Evans Function
Elliptic Boundary Value Problems
Boundary value problems
Elliptic Operator
Stars
Stability Index
Eigenvalue
Index Theorem
Zero Point
Stability Theorem
Elliptic Problems
Eigenvalue Problem
Bounded Domain
Bundle
Star
Unstable

All Science Journal Classification (ASJC) codes

  • Analysis

これを引用

An infinite-dimensional Evans function theory for elliptic boundary value problems. / Deng, Jian; Nii, Shunsaku.

:: Journal of Differential Equations, 巻 244, 番号 4, 15.02.2008, p. 753-765.

研究成果: ジャーナルへの寄稿記事

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