CONVERGENCE IN GRADIENT-LIKE SYSTEMS WITH APPLICATIONS TO PDE

被引：94

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

页码：63 / 124

页数：62

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
CHOW, SN
LU, KN
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 108 : 303 - 320
[8] INVARIANT-MANIFOLDS FOR FLOWS IN BANACH-SPACES
CHOW, SN
LU, K
[J]. 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
CROUZEIX, M
THOMEE, V
[J]. MATHEMATICS OF COMPUTATION, 1987, 48 (178) : 521 - 532

← 1 2 3 4 5 →