%0 Journal Article
%T First Integrals for Problems of Calculus of Variations on Locally Convex Spaces
%A Eugenio A. M. Rocha
%A Delfim F. M. Torres
%J Mathematics
%D 2005
%I arXiv
%X The fundamental problem of calculus of variations is considered when solutions are differentiable curves on locally convex spaces. Such problems admit an extension of the Euler-Lagrange equations [Orlov 2002] for continuously normally differentiable Lagrangians. Here, we formulate a Legendre condition and an extension of the classical theorem of Emmy Noether, thus obtaining first integrals for problems of the calculus of variations on locally convex spaces.
%U http://arxiv.org/abs/math/0511347v1