SINGULAR PERTURBATIONS AS A SELECTION CRITERION FOR PERIODIC MINIMIZING SEQUENCES

被引：136

作者：

MULLER, S ^{[1
]}

机构：

[1] UNIV BONN,INST ANGEW MATH,W-5300 BONN 1,GERMANY

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 1卷 / 02期

关键词：

D O I：

10.1007/BF01191616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Minimizers of functionals like integral-1/0 epsilon2u(xx)2 + (u(x)2 - 1)2 + u2dx subject to periodic (or Dirichlet) boundary conditions are investigated. While for epsilon = 0 the infimum is not attained it is shown that for sufficiently small epsilon > 0, all minimizers are periodic with period approximately epsilon1/3. Connections with solid-solid phase transformations are indicated.

引用

页码：169 / 204

页数：36

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