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On the Anisotropic Landau–Lifshitz Equations

✍ Scribed by Qun Chen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
122 KB
Volume
257
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we discuss the anisotropic static Landau-Lifshitz equations. We obtain maximum principles and existence results for the small solutions to the Dirichlet problems and the initial-boundary value problems of the corresponding evolution equations. We also construct multiple large smooth solutions in the two dimensions. These problems are dealt with from the viewpoint of harmonic maps with potential.

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