Global existence of time-dependent Yang-Mills-Higgs monopoles (Q1077054)
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scientific article; zbMATH DE number 3956067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence of time-dependent Yang-Mills-Higgs monopoles |
scientific article; zbMATH DE number 3956067 |
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Global existence of time-dependent Yang-Mills-Higgs monopoles (English)
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1986
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The authors study the Cauchy problem for a nonabelian Yang-Mills-Higgs theory in \((3+1)\)-dimensional Minkowski spacetime. With suitable conditions on the background fields and a suitable choice of a Sobolev space for the subtracted gauge potentials and the Higgs field they prove a local existence theorem. A global existence result is given after it is shown that the solutions cannot blow up in finite time.
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Cauchy problem
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Yang-Mills-Higgs theory
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gauge potentials
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