APPLICATIONS OF THE LOJASIEWICZ-SIMON GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS

被引：35

作者：

Chill, Ralph ^{[4
,5
]}

Haraux, Alain ^{[1
,2
]}

Jendoubi, Mohamed Ali ^{[3
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] CNRS, F-75252 Paris 05, France

[3] Fac Sci Bizerte, Dept Math, Jarzouna Bizerte 7021, Tunisia

[4] Univ Paul Verlaine Metz, F-57045 Metz 1, France

[5] CNRS, Lab Math & Applicat Metz, UMR 7122, F-57045 Metz 1, France

来源：

ANALYSIS AND APPLICATIONS | 2009年 / 7卷 / 04期

关键词：

Gradient-like; Lojasiewicz-Simon inequality; stabilization; BOUNDED SOLUTIONS; WAVE-EQUATION; NONLINEAR DISSIPATION; DYNAMICAL-SYSTEM; STEADY-STATES; CONVERGENCE; EQUILIBRIUM; TRAJECTORIES; DECAY;

D O I：

10.1142/S0219530509001438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove convergence to equilibrium of global and bounded solutions of gradient-like evolution equations. Our abstract results are illustrated by several examples infinite and infinite dimensions.

引用

页码：351 / 372

页数：22

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