A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems

被引：38

作者：

Feireisl, E

Issard-Roch, F

Petzeltová, H

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Univ Paris 11, Lab Math Anal Numer & EDP, F-91405 Orsay, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 199卷 / 01期

关键词：

Simon-Lojasiewicz theorem; non-local phase field model; convergence to stationary states;

D O I：

10.1016/j.jde.2003.10.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a simple system modelling phase transition phenomena with long term interactions. It is shown that any solution converges with growing time to a single stationary state. To this end, a non-smooth version of the celebrated Simon-Lojasiewicz theorem is proved. (C) 2003 Published by Elsevier Inc.

引用

页码：1 / 21

页数：21

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