Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40072-023-00291-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7573 |
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oai:localhost:PNK-75732023-04-05T07:25:05Z Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities Yingting, Miao Christian, Rohde Hao, Tang generalized Camassa–Holm equation Sobolev spaces Hs with s>3/2 for x∈R CC BY This paper aims at studying a generalized Camassa–Holm equation under random perturbation. We establish a local well-posedness result in the sense of Hadamard, i.e., existence, uniqueness and continuous dependence on initial data, as well as blow-up criteria for pathwise solutions in the Sobolev spaces Hs with s>3/2 for x∈R . The analysis on continuous dependence on initial data for nonlinear stochastic partial differential equations has gained less attention in the literature so far. 2023-04-05T07:25:05Z 2023-04-05T07:25:05Z 2023 Article Book https://link.springer.com/article/10.1007/s40072-023-00291-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7573 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
generalized Camassa–Holm equation Sobolev spaces Hs with s>3/2 for x∈R |
| spellingShingle |
generalized Camassa–Holm equation Sobolev spaces Hs with s>3/2 for x∈R Yingting, Miao Christian, Rohde Hao, Tang Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| description |
CC BY |
| format |
Article |
| author |
Yingting, Miao Christian, Rohde Hao, Tang |
| author_facet |
Yingting, Miao Christian, Rohde Hao, Tang |
| author_sort |
Yingting, Miao |
| title |
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| title_short |
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| title_full |
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| title_fullStr |
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| title_full_unstemmed |
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
| title_sort |
well-posedness for a stochastic camassa–holm type equation with higher order nonlinearities |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s40072-023-00291-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7573 |
| _version_ |
1762365503329796096 |
| score |
8.893527 |