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Stochastic Camassa-Holm equation with convection type noise
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Publication details
| Journal | Journal of Differential Equations |
|---|---|
| Date | Accepted/In press - 10 Dec 2020 |
| Date | E-pub ahead of print (current) - 30 Dec 2020 |
| Date | Published - 5 Mar 2021 |
| Volume | 276 |
| Number of pages | 29 |
| Pages (from-to) | 404-432 |
| Early online date | 30/12/20 |
| Original language | English |
Abstract
We consider a stochastic Camassa-Holm equation driven by a one dimensional Wiener process with a first order differential operator as diffusion coefficient. We prove the existence and uniqueness of local strong solutions of this equation. In order to do so, we transform it into a random quasi-linear partial differential equation and apply Kato's operator theory methods. Some of the results have potential to nd applications to other nonlinear stochastic partial differential equations.
Bibliographical note
© 2020 Published by Elsevier Inc.This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.
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