On the existence of Hamiltonian paths connecting Lagrangian submanifolds
| dc.creator | Ghoussoub, Nassif | |
| dc.creator | Moameni, Abbas | |
| dc.date | 2005-08-18 | |
| dc.date.accessioned | 2026-07-07T05:22:29Z | |
| dc.date.available | 2026-07-07T05:22:29Z | |
| dc.description | We use a new variational method --based on the theory of anti-selfdual Lagrangians developed in [2] and [3]-- to establish the existence of solutions of convex Hamiltonian systems that connect two given Lagrangian submanifolds in $\R^{2N}$. We also consider the case where the Hamiltonian is only semi-convex. A variational principle is also used to establish existence for the corresponding Cauchy problem. The case of periodic solutions will be considered in a forthcoming paper [5]. | |
| dc.description | 12 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/0508356 | |
| dc.identifier | http://arxiv.org/abs/math/0508356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76079 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On the existence of Hamiltonian paths connecting Lagrangian submanifolds | |
| dc.type | text |