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| HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART I |
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Citation： |
FANG Yi,HONG Minchun.HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART I[J].Chinese Annals of Mathematics B,2000,21(4):453~472 |
| Page view： 1141
Net amount： 776 |
Authors： |
FANG Yi; HONG Minchun |
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| Abstract： |
The Yang-Mills-Higgs field generalizes the Yang-Mills field. The authors establish the local existence and uniqueness of the weak solution to the heat flow for the Yang-Mills-Higgs field in a vector bundle over a compact Riemannian 4-manifold, and show that the weak solution is gauge-equivalent to a smooth solution and there are at most finite singularities at the maximum existing time. |
Keywords： |
Vector bundle, Yang-Mills-Higgs field, Heat flow, Singularity |
Classification： |
35K22, 35K55, 53C05 |
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