On the necessity of gaps
On the necessity of gaps
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DOI：
10.4171/jems/57
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发表时间：
2006-06
影响因子：
2.6
通讯作者：
H. Matano;P. Rabinowitz
中科院分区：
文献类型：
--
作者：
H. Matano;P. Rabinowitz
最近的一些论文研究了Allen-Cahn型方程的模型方程的相变解的存在性。这些解是简单平衡态之间的单跃迁或多跃迁空间异宿位或同宿位。构造多过渡解的一个充分条件是在单过渡解的有序集中存在缺口。在本文中，我们探讨这些差距条件的必要性。
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.