Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation

被引：45
作者：
Carlen, EA
Loss, M
机构：
[1] School Of Mathematics, Georgia Institute Of Technology, Atlanta, GA
来源：
DUKE MATHEMATICAL JOURNAL | 1995年 / 81卷 / 01期
关键词：
D O I：
10.1215/S0012-7094-95-08110-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：135 / 157
页数：23
相关论文
共 17 条
[1]  
BURKHOLDER D, 1967, ANN MATH STAT, V37, P1494
[2]   LP ESTIMATES ON ITERATED STOCHASTIC INTEGRALS [J].
CARLEN, E ;
KREE, P .
ANNALS OF PROBABILITY, 1991, 19 (01) :354-368
[3]   EXTREMALS OF FUNCTIONALS WITH COMPETING SYMMETRIES [J].
CARLEN, EA ;
LOSS, M .
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 88 (02) :437-456
[4]   SOME INTEGRAL IDENTITIES AND INEQUALITIES FOR ENTIRE-FUNCTIONS AND THEIR APPLICATION TO THE COHERENT STATE TRANSFORM [J].
CARLEN, EA .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 97 (01) :231-249
[5]  
CARLEN EA, 1993, INT MATH RES NOTICES, P213
[6]   EXPLICIT CONSTANTS FOR GAUSSIAN UPPER-BOUNDS ON HEAT KERNELS [J].
DAVIES, EB .
AMERICAN JOURNAL OF MATHEMATICS, 1987, 109 (02) :319-333
[7]   ULTRACONTRACTIVITY AND THE HEAT KERNEL FOR SCHRODINGER-OPERATORS AND DIRICHLET LAPLACIANS [J].
DAVIES, EB ;
SIMON, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 59 (02) :335-395
[8]   LP NORMS OF STOCHASTIC INTEGRALS AND OTHER MARTINGALES [J].
DAVIS, B .
DUKE MATHEMATICAL JOURNAL, 1976, 43 (04) :697-704
[9]  
FABES EB, 1986, ARCH RATION MECH AN, V96, P327
[10]   LARGE TIME BEHAVIOR OF THE VORTICITY OF TWO-DIMENSIONAL VISCOUS-FLOW AND ITS APPLICATION TO VORTEX FORMATION [J].
GIGA, Y ;
KAMBE, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (04) :549-568
12