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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.09567 |
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| _version_ | 1866911770501709824 |
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| author | Duyckaerts, Thomas Negro, Giuseppe |
| author_facet | Duyckaerts, Thomas Negro, Giuseppe |
| contents | We construct a two-parameter family of explicit solutions to the cubic wave equation on $\mathbb{R}^{1+3}$. Depending on the value of the parameters, these solutions either scatter to linear, blow-up in finite time, or exhibit a new type of threshold behaviour which we characterize precisely. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09567 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global solutions with asymptotic self-similar behaviour for the cubic wave equation Duyckaerts, Thomas Negro, Giuseppe Analysis of PDEs 35L05 We construct a two-parameter family of explicit solutions to the cubic wave equation on $\mathbb{R}^{1+3}$. Depending on the value of the parameters, these solutions either scatter to linear, blow-up in finite time, or exhibit a new type of threshold behaviour which we characterize precisely. |
| title | Global solutions with asymptotic self-similar behaviour for the cubic wave equation |
| topic | Analysis of PDEs 35L05 |
| url | https://arxiv.org/abs/2304.09567 |