Journal article
A dual approach to regularity in thin film micromagnetics
- Abstract:
- We prove a regularity result in the two-dimensional theory of soft ferromagnetic films. The associated Euler-Lagrange equation is given by a nonlocal degenerate variational inequality involving fractional derivatives. A difference quotient type argument based on a dual formulation in terms of magnetostatic potentials yields a Hölder estimate for the uniquely determined gradient projection of the magnetization field. © Springer-Verlag 2007.
- Publication status:
- Published
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- Publisher copy:
- 10.1007/s00526-006-0058-5
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Bibliographic Details
- Journal:
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- Volume:
- 29
- Issue:
- 1
- Pages:
- 85-98
- Publication date:
- 2007-05-01
- DOI:
- EISSN:
-
1432-0835
- ISSN:
-
0944-2669
- Source identifiers:
-
27070
Item Description
- Language:
- English
- Pubs id:
-
pubs:27070
- UUID:
-
uuid:ca0ee533-7f84-426e-983e-76d272e5a22a
- Local pid:
- pubs:27070
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2007
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