Geodesic
On the necessity of gaps
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 355-373 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Hiroshi Matano and Paul H. Rabinowitz},
     title = {On the necessity of gaps},
     journal = {Journal of the European Mathematical Society},
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     year = {2006},
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     number = {2},
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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

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