Rate of Convergence to Equilibrium and Łojasiewicz-Type Estimates

被引：0

作者：

Tomáš Bárta

机构：

[1] Charles University,Department of Mathematical Analysis, Faculty of Mathematics and Physics

来源：

Journal of Dynamics and Differential Equations | 2017年 / 29卷

关键词：

Gradient-like system; Kurdyka–Łojasiewicz inequality; Rate of convergence to equilibrium; Second order equation with damping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A well known result states that the Łojasiewicz gradient inequality implies some estimates of the rate of convergence to equilibrium for solutions of gradient systems. We generalize this result to gradient-like systems satisfying certain angle condition and Kurdyka–Łojasiewicz inequality and to even more general situation. We apply the results to a broad class of second order equations with damping.

引用

页码：1553 / 1568

页数：15

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