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Poisson-Gradient Dynamical Systems with Convex Potential

Iulian Duca·Ana-Maria Teleman·Constantin Udriste
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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.

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Iulian Duca, Ana-Maria Teleman, Constantin Udriste. 2005-10-26. Poisson-Gradient Dynamical Systems with Convex Potential. https://arxiv.org/abs/math/0510565

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