Homoclinic solutions of an integral equation: Existence and stability

Authors
Chmaj, A Ren, XF
Citation
A. Chmaj et Xf. Ren, Homoclinic solutions of an integral equation: Existence and stability, J DIFF EQUA, 155(1), 1999, pp. 17-43
Citations number
23
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
155
Issue
1
Year of publication
1999
Pages
17 - 43
Database
ISI
SICI code
0022-0396(19990610)155:1<17:HSOAIE>2.0.ZU;2-G
Abstract
We study existence and stability of homoclinic type solutions of a bistable integral equation. These are stationary solutions of an integrodifferentia l equation, which is a SI gradient nov: for a free energy functional with g eneral nonlocal integrals penalizing spatial nonuniformity. (C) 1999 Academ ic Press.