Convergence of solutions of second-order gradient-like systems with analytic nonlinearities

被引：87

作者：

Haraux, A ^{[1
]}

Jendoubi, MA ^{[1
]}

机构：

[1] Univ Pierre & Marie Curie, Anal Numer Lab, F-75230 Paris 05, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 144卷 / 02期

关键词：

D O I：

10.1006/jdeq.1997.3393

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the second-order gradient-like system U-tt + g(U-t) = del F(U) where F: R-N --> R is analytic and g: R-N --> R-N is Lipschitz and coercive with g(0) = 0. We prove the convergence of global and bounded solutions of ii) to some equilibrium points. (C) 1998 Academic Press.

引用

页码：313 / 320

页数：8

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