High-energy solutions for a phase transition problem

被引：6

作者：

Felmer, PL

Martinez, S ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Ctr Dynam Syst & Nonlinear Studies, Atlanta, GA 30332 USA

[2] Univ Chile, UMR2071 CNRS, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, UMR2071 CNRS, Ctr Modelamiento Matemat, Santiago, Chile

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 194卷 / 01期

关键词：

phase transition; variational methods; highly oscillatory solutions;

D O I：

10.1016/S0022-0396(03)00194-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study the existence and profile of high-energy solutions for the phase transition model epsilon(2)u(n) - a(x)W'(u) = 0, in (-1, 1), u'(-1) = u'(1) = 0, with W a double well balanced potential and epsilon is a small parameter. These solutions will be shown to be highly oscillatory. We will characterize their asymptotic behavior in terms of an envelope function. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：198 / 220

页数：23

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