| Abstract: |
| The stochastic Landau--Lifshitz--Bloch equation perturbed by a multiplicative space-dependent noise is studied for
a ferromagnet filling a bounded domain $D\subset\mathbb R^d$, $d=1,2,3$. We show the existence of strong solutions in the
sense of partial differential equation for $d=1,2,3$. Furthermore, in case $d=1,2$ we prove the existence of invariant measures
and the existence of the unique strong solution in the sense of the theory of stochastic differential equations. |
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