Weak KAM theory in higher-dimensional holonomic measure flows
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866913927811563520 |
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| author | Rios-Zertuche, Rodolfo |
| author_facet | Rios-Zertuche, Rodolfo |
| contents | We construct a weak KAM theory for parameterized cobordisms and their relaxation, holonomic measures. We find a weak kam solution in that context, and we show that in many cases it corresponds to an exact form that satisfies a version of the Hamilton-Jacobi equation. Along the way, we give a characterization of minimizable Lagrangians, as well as some abstract weak KAM machinery. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_08181 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Weak KAM theory in higher-dimensional holonomic measure flows Rios-Zertuche, Rodolfo Dynamical Systems Analysis of PDEs Optimization and Control 37J40, 37J50 We construct a weak KAM theory for parameterized cobordisms and their relaxation, holonomic measures. We find a weak kam solution in that context, and we show that in many cases it corresponds to an exact form that satisfies a version of the Hamilton-Jacobi equation. Along the way, we give a characterization of minimizable Lagrangians, as well as some abstract weak KAM machinery. |
| title | Weak KAM theory in higher-dimensional holonomic measure flows |
| topic | Dynamical Systems Analysis of PDEs Optimization and Control 37J40, 37J50 |
| url | https://arxiv.org/abs/1901.08181 |