The asymptotic behavior of Yang-Mills fields in the large (Q1200463)
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scientific article; zbMATH DE number 95388
| Language | Label | Description | Also known as |
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| English | The asymptotic behavior of Yang-Mills fields in the large |
scientific article; zbMATH DE number 95388 |
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The asymptotic behavior of Yang-Mills fields in the large (English)
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16 January 1993
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The paper is dealing with Yang-Mills equations \(F^{;\beta}_{\alpha\beta}=0\), \(^*F^{;\beta}_{\alpha\beta}=0\) in Minkowski space-time. Questions concerning global solutions in \(H^ s\) or global large solutions in the weighted Sobolev spaces \(H^{s,\delta}\) have already been known. Here, solutions corresponding to dipole-type Cauchy data are investigated. In particular, among other things, it is proved that all spherically symmetric solutions in the canonical gauge decay in time, if the initial data have finite conformal energy.
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dipole-type Cauchy data
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spherically symmetric solutions
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finite conformal energy
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