On a class of second order variational problems with constraints |
| |
Authors: | Moshe Marcus Alexander J Zaslavski |
| |
Institution: | (1) Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel |
| |
Abstract: | 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 inC
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|