Local monotonicity for the Yang-Mills-Higgs flow
Abstract
A local monotonicity formula for the Yang-Mills-Higgs flow on G-bundles over Rn (n>4) is proved. It is shown that the monotone quantity co\"incides on certain self-similar solutions with that appearing in existing non-local monotonicity formul\ for the Yang-Mills and Yang-Mills-Higgs flows.
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