Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows
| dc.creator | Ghoussoub, Nassif | |
| dc.creator | Tzou, Leo | |
| dc.date | 2005-04-01 | |
| dc.date.accessioned | 2026-07-07T05:18:44Z | |
| dc.date.available | 2026-07-07T05:18:44Z | |
| dc.description | Anti-selfdual Lagrangians on a state space lift to path space provided one adds a suitable selfdual boundary Lagrangian. This process can be iterated by considering the path space as a new state space for the newly obtained anti-selfdual Lagrangian. We give here two applications for these remarkable permanence properties. In the first, we establish for certain convex-concave Hamiltonians ${\cal H}$ on a --possibly infinite dimensional--symplectic space $H^2$, the existence of a solution for the Hamiltonian system $-J\dot u (t)=\partial {\cal H} (u(t))$ that connects in a given time T>0, two Lagrangian submanifolds. Another application deals with the construction of a multiparameter gradient flow for a convex potential. Our methods are based on the new variational calculus for anti-selfdual Lagrangians developed in [4], [5] and [7]. | |
| dc.description | 20 pages. Updated versions --if any-- of this author's papers can be downloaded at http://www.pims.math.ca/~nassif/ | |
| dc.identifier | https://arxiv.org/abs/math/0504031 | |
| dc.identifier | http://arxiv.org/abs/math/0504031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74769 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows | |
| dc.type | text |