TY - JOUR
T1 - Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel
AU - Deng, Jian
AU - Nii, Shunsaku
N1 - Funding Information:
* Corresponding author. E-mail addresses: jdeng@acm.caltech.edu (J. Deng), snii@math.kyushu-u.ac.jp (S. Nii). 1 Partially supported by Grant-in-Aid for Young Scientists (B) (KAKENHI 14740112), The Ministry of Education, Culture, Sports, Science and Technology.
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.
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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 -