On a class of second order variational problems with constraints

被引：16
|
作者：
Marcus, M [1 ]
Zaslavski, AJ [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 111卷 / 1期
关键词：
D O I：
10.1007/BF02810675
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the structure of optimal solutions for a class of constrained, second order variational problems on bounded intervals. We show that, for intervals of length greater than some positive constant, the optimal solutions are bounded in C-1 by a bound independent of the length of the interval. Furthermore, for sufficiently large intervals, the 'mass' and 'energy' of optimal solutions are almost uniformly distributed.
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页码：1 / 28
页数：28
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