Local and global well-posedness of 2d periodic multiplicative stochastic NLS
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914064979984384 |
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| author | Zachhuber, Immanuel |
| author_facet | Zachhuber, Immanuel |
| contents | We use Strichartz estimates with rough potentials like the spatial white
noise on the 2 \ dimensional torus to prove global well-posedness of the multiplicative stochastic NLS with general
integer powers in both the energy and strong regime together with controls over the growth of the norms of the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_01982 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Local and global well-posedness of 2d periodic multiplicative stochastic NLS Zachhuber, Immanuel Analysis of PDEs Probability We use Strichartz estimates with rough potentials like the spatial white noise on the 2 \ dimensional torus to prove global well-posedness of the multiplicative stochastic NLS with general integer powers in both the energy and strong regime together with controls over the growth of the norms of the solutions. |
| title | Local and global well-posedness of 2d periodic multiplicative stochastic NLS |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/1911.01982 |