THE YANG-MILLS FLOW IN 4 DIMENSIONS

被引：53

作者：

STRUWE, M ^{[1
]}

机构：

[1] SWISS FED INST TECHNOL,CH-8092 ZURICH,SWITZERLAND

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1994年 / 2卷 / 02期

关键词：

D O I：

10.1007/BF01191339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global existence and uniqueness is established for the Yang-Mills heat flow in a vector bundle over a compact Riemannian four-manifold for given initial connection of finite energy. Our results are analogous to those valid for the evolution of harmonic maps of Riemannian surfaces.

引用

页码：123 / 150

页数：28

共 22 条

[1] ATIYAH MF, 1982, PHIL T ROY SOC LON A, V0308, P00524
[2] THE APPROXIMATION PROBLEM FOR SOBOLEV MAPS BETWEEN 2 MANIFOLDS
BETHUEL, F
[J]. ACTA MATHEMATICA, 1991, 167 (3-4) : 153 - 206
[3] STABILITY AND ISOLATION PHENOMENA FOR YANG-MILLS FIELDS
BOURGUIGNON, JP
LAWSON, HB
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (02) : 189 - 230
[4] CHANG KC, FINITE TIME BLOW UP
[5] CHEN Y, IN PRESS CALC VAR
[6] DETURCK DM, 1983, J DIFFER GEOM, V18, P157
[7] DONALDSON SK, 1990, TOPOLOGY 4 MANIFOLDS
[8] Freed D., 1991, INSTANTONS 4 MANIFOL, V2nd
[9] HAMILTON R, MONOTONICITY FORMULA
[10] HELGASON S., 1978, DIFFERENTIAL GEOMETR

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