Title of article
Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel
Author/Authors
Jian Deng، نويسنده , , Shunsaku Nii، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
33
From page
57
To page
89
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.
Keywords
Determinant bundle , travelling wave , Stability index , Fredholm Gra?manian , Evans function
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2006
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750846
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