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Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities

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Main Authors: Yingting, Miao, Christian, Rohde, Hao, Tang
Format: Article
Language:English
Published: Springer 2023
Subjects:
generalized Camassa–Holm equation
Sobolev spaces Hs with s>3/2 for x∈R
Online Access:https://link.springer.com/article/10.1007/s40072-023-00291-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7573
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spelling 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

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