On a class of second order variational problems with constraints

Authors
Marcus, M Zaslavski, AJ
Citation
M. Marcus et Aj. Zaslavski, On a class of second order variational problems with constraints, ISR J MATH, 111, 1999, pp. 1-28
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
111
Year of publication
1999
Pages
1 - 28
Database
ISI
SICI code
0021-2172(1999)111:<1:OACOSO>2.0.ZU;2-E
Abstract
We study the structure of optimal solutions for a class of constrained, sec ond order variational problems on bounded intervals. We show that, for inte rvals 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. Fu rthermore, for sufficiently large intervals, the 'mass' and 'energy' of opt imal solutions are almost uniformly distributed.