Reducibility of beam equations in higher-dimensional spaces
Abstract In this paper, we reduce a linear d-dimensional beam equation with an x-periodic and t-quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of small divisor conditions and the estimation on the coordinate transformation.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0810-0 |
| _version_ | 1818551385214418944 |
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| author | Jie Rui Bingchen Liu |
| author_facet | Jie Rui Bingchen Liu |
| author_sort | Jie Rui |
| collection | DOAJ |
| description | Abstract In this paper, we reduce a linear d-dimensional beam equation with an x-periodic and t-quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of small divisor conditions and the estimation on the coordinate transformation. |
| first_indexed | 2024-12-12T08:59:12Z |
| format | Article |
| id | doaj.art-6aad7f0fbc25489f9ded57f575c83cee |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-12T08:59:12Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-6aad7f0fbc25489f9ded57f575c83cee2022-12-22T00:29:53ZengSpringerOpenBoundary Value Problems1687-27702017-06-012017112210.1186/s13661-017-0810-0Reducibility of beam equations in higher-dimensional spacesJie Rui0Bingchen Liu1College of Science, China University of Petroleum (East China)College of Science, China University of Petroleum (East China)Abstract In this paper, we reduce a linear d-dimensional beam equation with an x-periodic and t-quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of small divisor conditions and the estimation on the coordinate transformation.http://link.springer.com/article/10.1186/s13661-017-0810-0infinite-dimensional Hamiltonian systemsbeam equationsreducibilityinvariant torus |
| spellingShingle | Jie Rui Bingchen Liu Reducibility of beam equations in higher-dimensional spaces Boundary Value Problems infinite-dimensional Hamiltonian systems beam equations reducibility invariant torus |
| title | Reducibility of beam equations in higher-dimensional spaces |
| title_full | Reducibility of beam equations in higher-dimensional spaces |
| title_fullStr | Reducibility of beam equations in higher-dimensional spaces |
| title_full_unstemmed | Reducibility of beam equations in higher-dimensional spaces |
| title_short | Reducibility of beam equations in higher-dimensional spaces |
| title_sort | reducibility of beam equations in higher dimensional spaces |
| topic | infinite-dimensional Hamiltonian systems beam equations reducibility invariant torus |
| url | http://link.springer.com/article/10.1186/s13661-017-0810-0 |
| work_keys_str_mv | AT jierui reducibilityofbeamequationsinhigherdimensionalspaces AT bingchenliu reducibilityofbeamequationsinhigherdimensionalspaces |