Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2014
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| _version_ | 1866910446933508096 |
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| author | Bulut, Aynur |
| author_facet | Bulut, Aynur |
| contents | We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain $B_2\times\mathbb{T}$, with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\partial B_2\times\mathbb{T}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1409_3209 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$ Bulut, Aynur Analysis of PDEs Mathematical Physics We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain $B_2\times\mathbb{T}$, with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\partial B_2\times\mathbb{T}$. |
| title | Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$ |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/1409.3209 |