CONVERGENCE IN GRADIENT-LIKE SYSTEMS WITH APPLICATIONS TO PDE

被引:96
作者
HALE, JK
RAUGEL, G
机构
[1] CNRS,ANAL NUMER LAB,F-91405 ORSAY,FRANCE
[2] UNIV PARIS 11,F-91405 ORSAY,FRANCE
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1992年 / 43卷 / 01期
关键词
D O I
10.1007/BF00944741
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In gradient-like systems. the limit set of an orbit belongs to the set of equilibrium points. We give easily applied conditions to determine when this limit set is a single point. Applications are given to parabolic equations. linearly damped hyperbolic equations as well as their discretizations.
引用
收藏
页码:63 / 124
页数:62
相关论文
共 44 条
[1]  
ABERGEL F, 1991, UNPUB 3E COURS CYCL
[2]  
ARRIETA J, 1990, IN PRESS COMM PDE
[3]  
AULBACH B, 1983, LECT NOTES MATH, V1017, P56
[4]  
BABIN AV, 1983, J MATH PURE APPL, V62, P441
[5]  
Babinand A. V., 1989, ATTRACTORS EVOLUTION
[6]  
CARR J, 1981, APPLIED MATH SCI, V35
[7]   CK CENTER UNSTABLE MANIFOLDS [J].
CHOW, SN ;
LU, KN .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 108 :303-320
[8]   INVARIANT-MANIFOLDS FOR FLOWS IN BANACH-SPACES [J].
CHOW, SN ;
LU, K .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 74 (02) :285-317
[9]  
Ciarlet P. G., 2002, FINITE ELEMENT METHO
[10]   THE STABILITY IN LP AND W-P-1 OF THE L2-PROJECTION ONTO FINITE-ELEMENT FUNCTION-SPACES [J].
CROUZEIX, M ;
THOMEE, V .
MATHEMATICS OF COMPUTATION, 1987, 48 (178) :521-532