Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

被引：4

作者：

Kim, Seonghak ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 01期

关键词：

Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model; ANISOTROPIC DIFFUSION; AGGREGATION; EQUATIONS; SPACE;

D O I：

10.1016/j.jde.2017.08.069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：82 / 97

页数：16

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