Global existence for critical power ynag-mills-higgs equations in R3+1

We prove global existence for both smooth and finite energy solutions of the Yang-Mills-Higgs equations with a critical-power Higgs self-interaction in R 3+1 . The phrase "critical-power" denotes here a Higgs self-interaction behaving as φ 6 for large φ.

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Veröffentlicht in:Communications in partial differential equations 1997-01, Vol.22 (7-8), p.31-42
1. Verfasser: Markus, Keel
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove global existence for both smooth and finite energy solutions of the Yang-Mills-Higgs equations with a critical-power Higgs self-interaction in R 3+1 . The phrase "critical-power" denotes here a Higgs self-interaction behaving as φ 6 for large φ.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605309708821297