Geodesic
On the necessity of gaps
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 355-373.

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Recent papers have studied the existence of phase transition solutions for model equations of Allen-Cahn type equations. These solutions are either single or multi-transition spatially heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition of the construction of the multi-transition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
DOI : 10.4171/jems/57
Classification : 35-XX, 00-XX
Keywords: 
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Hiroshi Matano; Paul H. Rabinowitz. On the necessity of gaps. Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 355-373. doi : 10.4171/jems/57. http://geodesic.mathdoc.fr/articles/10.4171/jems/57/

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