Differential and Integral Equations
- Differential Integral Equations
- Volume 14, Number 2 (2001), 213-229.
Regular solutions for Landau-Lifschitz equation in a bounded domain
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.
Differential Integral Equations, Volume 14, Number 2 (2001), 213-229.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
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