Abstract
This paper is concerned with the asymptotic behavior of the classical solutions of a Landau-Lifshitz-Schrödinger-type problem with initial-boundary values when the parameter $\varepsilon$ goes to zero. We establish several uniform estimates of $u_{\varepsilon}$ by a conservation result and the standard parabolic method. Based on these results, we obtain parabolic behavior in the dissipative case and non-parabolic behavior of the semi-classical limits of those solutions respectively.
Citation
Yutian Lei. "Asymptotic Behavior of the Initial-boundary Value Problem of Landau-Lifshitz-Schrödinger Type." Taiwanese J. Math. 24 (5) 1229 - 1248, October, 2020. https://doi.org/10.11650/tjm/200302
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