Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel |
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| Authors: | Jian Deng |
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| Affiliation: | a Applied and Computational Mathematics, Caltech, Pasadena, CA 91125, USA
b Faculty of Mathematics, Kyushu University, Fukuoka 810-8560, Japan |
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| 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. |
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| Keywords: | Travelling wave Evans function Stability index Fredholm Graß manian Determinant bundle |
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