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
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