Research output: Contribution to journal › Article

Journal | Communications in Mathematical Physics |
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Date | Accepted/In press - 5 Dec 2018 |

Date | E-pub ahead of print (current) - 15 Feb 2019 |

Number of pages | 59 |

Early online date | 15/02/19 |

Original language | English |

In this work we study a stochastic three-dimensional Landau-Lifschitz-Gilbert equation perturbed by pure jump noise in the Marcus canonical form. We show existence of weak martingale solutions taking values in a three-dimensional sphere $\mathbb{S}^2$ and discuss certain regularity results. The construction of the solution is based on the classical Faedo-Galerkin approximation, the compactness method and the Jakubowski version of the Skorokhod Theorem for nonmetric spaces.

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- Stochastic Landau-Lifshitz equation, weak martingale solutions, Marcus canonical form, Lévy noise

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