Homogenization of Hamilton-Jacobi equations in perforated sets

被引:16
作者
Alvarez, O [1 ]
机构
[1] Univ Rouen, UPRESA 6085, F-76821 Mt St Aignan, France
关键词
D O I
10.1006/jdeq.1999.3665
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:543 / 577
页数:35
相关论文
共 21 条
[1]   AN EXTENSION THEOREM FROM CONNECTED SETS, AND HOMOGENIZATION IN GENERAL PERIODIC DOMAINS [J].
ACERBI, E ;
PIAT, VC ;
DALMASO, G ;
PERCIVALE, D .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (05) :481-496
[2]  
Bardi M., 2008, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
[3]   DISCONTINUOUS VISCOSITY SOLUTIONS OF 1ST-ORDER HAMILTON-JACOBI EQUATIONS - A GUIDED VISIT [J].
BARLES, G .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (09) :1123-1134
[4]   EXIT TIME PROBLEMS IN OPTIMAL-CONTROL AND VANISHING VISCOSITY METHOD [J].
BARLES, G ;
PERTHAME, B .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (05) :1133-1148
[5]  
Barles G., 1994, Solutions de viscosite des equations de Hamilton-Jacobi, V17
[6]  
BARRON EN, 1990, COMMUN PART DIFF EQ, V15, P1713
[7]  
Bensoussan A., 1978, ASYMPTOTIC ANAL PERI
[8]   HAMILTON-JACOBI EQUATIONS WITH STATE CONSTRAINTS [J].
CAPUZZODOLCETTA, I ;
LIONS, PL .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 318 (02) :643-683
[9]   HOMOGENIZATION IN OPEN SETS WITH HOLES [J].
CIORANESCU, D ;
PAULIN, JSJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) :590-607
[10]   USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS [J].
CRANDALL, MG ;
ISHII, H ;
LIONS, PL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :1-67