Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612451 | Journal of Differential Equations | 2006 | 33 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis