Item Infomation
Title: | Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities |
Authors: | Yingting, Miao Christian, Rohde Hao, Tang |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7573 |
Appears in Collections | OER - Khoa học Tự nhiên |
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