分野別セミナー

We consider time-decay estimate for solutions of 2D Landau-Lifshitz-Gilbert
(LLG) equation around the helical state. This state is a stationary solution
which is periodic in one spatial direction, while constant in the other direction.
In the analysis of linearized operator, we apply frequency decomposition in terms
of the Bloch wave numbers. Then we obtain the estimate for the semigroup of
$L^1 \to L^\infty$-type for low-frequency part and energy inequality
for high-frequency part.