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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2206.06624 |
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| _version_ | 1866917684608761856 |
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| author | Mangoubi, Dan Weiser, Adi Weller |
| author_facet | Mangoubi, Dan Weiser, Adi Weller |
| contents | An argument by Hassell proving the existence of a Bunimovich stadium for which there are semiclassical measures giving positive mass to the submanifold of bouncing ball trajectories uses a notion of non-gliding points. However, this notion is defined only for domains with $C^2$-boundaries. The purpose of this note is to clarify the argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06624 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium Mangoubi, Dan Weiser, Adi Weller Analysis of PDEs An argument by Hassell proving the existence of a Bunimovich stadium for which there are semiclassical measures giving positive mass to the submanifold of bouncing ball trajectories uses a notion of non-gliding points. However, this notion is defined only for domains with $C^2$-boundaries. The purpose of this note is to clarify the argument. |
| title | A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2206.06624 |