Differential and Integral Equations

Regular solutions for Landau-Lifschitz equation in a bounded domain

Gilles Carbou and Pierre Fabrie

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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.

Article information

Source
Differential Integral Equations, Volume 14, Number 2 (2001), 213-229.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123353

Mathematical Reviews number (MathSciNet)
MR1797387

Zentralblatt MATH identifier
1161.35421

Subjects
Primary: 35Q60: PDEs in connection with optics and electromagnetic theory
Secondary: 35A07 35K20: Initial-boundary value problems for second-order parabolic equations 82D40: Magnetic materials

Citation

Carbou, Gilles; Fabrie, Pierre. Regular solutions for Landau-Lifschitz equation in a bounded domain. Differential Integral Equations 14 (2001), no. 2, 213--229. https://projecteuclid.org/euclid.die/1356123353


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