The Hopf bifurcation theorem in Banach spaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866918413617594368 |
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| author | Kawanago, Tadashi |
| author_facet | Kawanago, Tadashi |
| contents | We prove a Hopf bifurcation theorem in general Banach spaces, which improves a classical result by Crandall and Rabinowitz. Actually, our theorem does not need any compactness conditions, which leads to wider applications. In particular, our theorem can be applied to semilinear and quasi-linear partial differential equations in unbounded domains of $\mathbb{R}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_18000 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Hopf bifurcation theorem in Banach spaces Kawanago, Tadashi Analysis of PDEs Mathematical Physics We prove a Hopf bifurcation theorem in general Banach spaces, which improves a classical result by Crandall and Rabinowitz. Actually, our theorem does not need any compactness conditions, which leads to wider applications. In particular, our theorem can be applied to semilinear and quasi-linear partial differential equations in unbounded domains of $\mathbb{R}^n$. |
| title | The Hopf bifurcation theorem in Banach spaces |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2303.18000 |