Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel

Jian Deng; Shunsaku Nii

doi:10.1016/j.jde.2005.09.007

Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel

Jian Deng, Shunsaku Nii

Department of Mathematics

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

An infinite-dimensional Evans function theory is developed for the elliptic eigenvalue problem associated with the stability of travelling solitary waves in a channel. Also, a bundle is constructed over the complex domain, so that its first Chern number gives the number of eigenvalues inside the domain.

Original language	English
Pages (from-to)	57-89
Number of pages	33
Journal	Journal of Differential Equations
Volume	225
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2005.09.007
Publication status	Published - Jun 1 2006

Fingerprint

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Cite this

Deng, J., & Nii, S. (2006). Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel. Journal of Differential Equations, 225(1), 57-89. https://doi.org/10.1016/j.jde.2005.09.007

@article{137093179e5446239efae4c36a609f84,

title = "Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel",

abstract = "An infinite-dimensional Evans function theory is developed for the elliptic eigenvalue problem associated with the stability of travelling solitary waves in a channel. Also, a bundle is constructed over the complex domain, so that its first Chern number gives the number of eigenvalues inside the domain.",

author = "Jian Deng and Shunsaku Nii",

year = "2006",

month = "6",

day = "1",

doi = "10.1016/j.jde.2005.09.007",

language = "English",

volume = "225",

pages = "57--89",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel

AU - Deng, Jian

AU - Nii, Shunsaku

PY - 2006/6/1

Y1 - 2006/6/1

N2 - An infinite-dimensional Evans function theory is developed for the elliptic eigenvalue problem associated with the stability of travelling solitary waves in a channel. Also, a bundle is constructed over the complex domain, so that its first Chern number gives the number of eigenvalues inside the domain.

AB - An infinite-dimensional Evans function theory is developed for the elliptic eigenvalue problem associated with the stability of travelling solitary waves in a channel. Also, a bundle is constructed over the complex domain, so that its first Chern number gives the number of eigenvalues inside the domain.

UR - http://www.scopus.com/inward/record.url?scp=33646523810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646523810&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2005.09.007

DO - 10.1016/j.jde.2005.09.007

M3 - Article

AN - SCOPUS:33646523810

VL - 225

SP - 57

EP - 89

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 1

ER -

Access to Document

10.1016/j.jde.2005.09.007