On decay of entropy solutions to degenerate nonlinear parabolic equations with perturbed periodic initial data

被引：0

作者：

Panov, Evgeny Yu. ^{[1
,2
,3
]}

机构：

[1] Novgorod State Univ, Veliky Novgorod, Russia

[2] Res & Dev Ctr Veliky Novgorod, Veliky Novgorod, Russia

[3] Peoples Friendship Univ Russia, RUDN Univ, Moscow, Russia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 339卷

基金：

俄罗斯科学基金会;

关键词：

Degenerate nonlinear parabolic equation; Scalar conservation laws; Entropy solutions; Nonlinearity-diffusivity condition; Decay property;

D O I：

10.1016/j.jde.2022.08.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under a precise nonlinearity-diffusivity assumption we establish the decay of entropy solutions of a degenerate nonlinear parabolic equation with initial data being a sum of periodic function and a function vanishing at infinity in the appropriate sense.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：579 / 601

页数：23

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