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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Calculus of Variations and Partial Differential Equations |
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| Verlag: | SPRINGER |
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| Ort der Veröffentlichung: | NEW YORK |
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| Band: | 43 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 1-2 |
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| Seitenbereich: | S. 1-23 |
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| Datum: | 2012 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1007/s00526-011-0400-4 | DOI |
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| Stichwörter / Keywords: | STATIONARY HARMONIC MAPS; SINGULAR SET; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 64289 |
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Zusammenfassung
Motivated by the construction of time-periodic solutions for the three-dimensional Landau-Lifshitz-Gilbert equation in the case of soft and small ferromagnetic particles, we investigate the regularity properties of minimizers of the micromagnetic energy functional at the boundary. In particular, we show that minimizers are regular provided the volume of the particle is sufficiently small. The ...
Zusammenfassung
Motivated by the construction of time-periodic solutions for the three-dimensional Landau-Lifshitz-Gilbert equation in the case of soft and small ferromagnetic particles, we investigate the regularity properties of minimizers of the micromagnetic energy functional at the boundary. In particular, we show that minimizers are regular provided the volume of the particle is sufficiently small. The approach uses a reflection construction at the boundary and an adaption of the well-known regularity theory for minimizing harmonic maps into spheres.
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