On the optimal local regularity for the Yang-Mills equations in R4+1

被引:91
作者
Klainerman, S [1 ]
Tataru, D [1 ]
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
关键词
Yang-Mills; well-posedness; regularity; Strichartz;
D O I
10.1090/S0894-0347-99-00282-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:93 / 116
页数:24
相关论文
共 15 条
[1]  
Bourgain J., 1993, GEOM FUNCT ANAL, V3, P209
[2]   LP-LP' ESTIMATES FOR WAVE-EQUATION [J].
BRENNER, P .
MATHEMATISCHE ZEITSCHRIFT, 1975, 145 (03) :251-254
[3]   GENERALIZED STRICHARTZ INEQUALITIES FOR THE WAVE-EQUATION [J].
GINIBRE, J ;
VELO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 133 (01) :50-68
[4]   ON THE MAXWELL-KLEIN-GORDON EQUATION WITH FINITE-ENERGY [J].
KLAINERMAN, S ;
MACHEDON, M .
DUKE MATHEMATICAL JOURNAL, 1994, 74 (01) :19-44
[5]   Smoothing estimates for null forms and applications [J].
Klainerman, S ;
Machedon, M .
DUKE MATHEMATICAL JOURNAL, 1995, 81 (01) :99-133
[6]  
Klainerman S, 1997, COMMUN PART DIFF EQ, V22, P901
[7]   FINITE-ENERGY SOLUTIONS OF THE YANG-MILLS EQUATIONS IN R(3+1) [J].
KLAINERMAN, S ;
MACHEDON, M .
ANNALS OF MATHEMATICS, 1995, 142 (01) :39-119
[8]   On the regularity properties of a model problem related to wave maps [J].
Klainerman, S ;
Machedon, M .
DUKE MATHEMATICAL JOURNAL, 1997, 87 (03) :553-589
[9]   SPACE-TIME ESTIMATES FOR NULL FORMS AND THE LOCAL EXISTENCE THEOREM [J].
KLAINERMAN, S ;
MACHEDON, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1993, 46 (09) :1221-1268
[10]  
Klainerman S., 1996, INT MATH RES NOTICES, V1996, P853