2001 Regular solutions for Landau-Lifschitz equation in a bounded domain
Gilles Carbou, Pierre Fabrie
Differential Integral Equations 14(2): 213-229 (2001). DOI: 10.57262/die/1356123353

Abstract

In this paper we prove local existence and uniqueness of regular solutions for a quasistatic model arising in micromagnetism theory. Moreover we show global existence of regular solutions for small data in the 2D case for the Landau-Lifschitz equation. These results extend those already obtained by the authors in the whole space.

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Gilles Carbou. Pierre Fabrie. "Regular solutions for Landau-Lifschitz equation in a bounded domain." Differential Integral Equations 14 (2) 213 - 229, 2001. https://doi.org/10.57262/die/1356123353

Information

Published: 2001
First available in Project Euclid: 21 December 2012

zbMATH: 1161.35421
MathSciNet: MR1797387
Digital Object Identifier: 10.57262/die/1356123353

Subjects:
Primary: 35Q60
Secondary: 35A07 , 35K20 , 82D40

Rights: Copyright © 2001 Khayyam Publishing, Inc.

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Vol.14 • No. 2 • 2001
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