Poisson-Gradient Dynamical Systems with Convex Potential
Dynamical Systems
2007-05-23 v1 Analysis of PDEs
Abstract
The basic aim is to extend some results and concepts of non-autonomous second order differential systems with convex potentials to the new context of multi-time Poisson-gradient PDE systems with convex potential. In this sense, we prove that minimizers of a suitable action functional are multiple periodical solutions of a Dirichlet problem associated to the Euler-Lagrange equations. Automatically, these are solutions of the associated multi-time Hamiltonian equations.
Cite
@article{arxiv.math/0510565,
title = {Poisson-Gradient Dynamical Systems with Convex Potential},
author = {Iulian Duca and Ana-Maria Teleman and Constantin Udriste},
journal= {arXiv preprint arXiv:math/0510565},
year = {2007}
}
Comments
Proceedings of The 3-rd International Colloquium "Mathematics in Engineering and Numerical Physics", October 7-9, 2004, University Politehnica of Bucharest, BSG Proceedings 12, Geometry Balkan Press (2005), 128-136