Bounds for tentacular Hamiltonians
| Autor: | Pasquotto, F., Wiśniewska, J. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Journal of Topology and Analysis, Vol. 12 No. 01, pp. 209-265 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S179352531950047X |
| Popis: | This paper represents a first step towards the extension of the definition of Rabinowitz Floer homology to non-compact energy hypersurfaces in exact symplectic manifolds. More concretely, we study under which conditions it is possible to establish $L^{\infty}$-bounds for the Floer trajectories of a Hamiltonian with non-compact energy levels. Moreover, we introduce a class of Hamiltonians, called tentacular Hamiltonians, which satisfy the conditions: how to define RFH for these examples will be the subject of a follow-up paper. Comment: typos corrected; readability improved |
| Databáze: | arXiv |
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