Stochastic logarithmic Schrödinger equations driven by Lévy noise
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929705409576960 |
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| author | Zhu, Jiahui Zhai, Jianliang |
| author_facet | Zhu, Jiahui Zhai, Jianliang |
| contents | In this paper, we study the stochastic logrithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise. The global well-posedness is established for the stochastic logrithmic Schrödinger equation in an appropriate Orlicz space by construct solutions of a regularized equation converging strongly to a solution to the original equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic logarithmic Schrödinger equations driven by Lévy noise Zhu, Jiahui Zhai, Jianliang Probability In this paper, we study the stochastic logrithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise. The global well-posedness is established for the stochastic logrithmic Schrödinger equation in an appropriate Orlicz space by construct solutions of a regularized equation converging strongly to a solution to the original equation. |
| title | Stochastic logarithmic Schrödinger equations driven by Lévy noise |
| topic | Probability |
| url | https://arxiv.org/abs/2412.12897 |