Fast energy decay for wave equation with a monotone potential and an effective damping

被引：0

作者：

Li, Xiaoyan ^{[1
]}

Ikehata, Ryo ^{[2
]}

机构：

[1] Hainan Univ, Sch Math & Stat, Haikou 570228, Hainan, Peoples R China

[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Div Educ Sci, Higashihiroshima 7398524, Japan

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2024年 / 21卷 / 02期

关键词：

Wave equation; one-dimensional space; potential; space-dependent damping; multiplier method; energy decay; DIFFUSION PHENOMENA; ASYMPTOTIC-BEHAVIOR; LOCAL ENERGY; SPACE; DISSIPATION; RATES; TERM;

D O I：

10.1142/S0219891624500085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the total energy decay of the Cauchy problem for wave equations with a potential and an effective damping. We treat it in the whole one-dimensional Euclidean space R. Fast energy decay like E(t) = O(t-2) is established with the help of potential. The proofs of main results rely on a multiplier method and modified techniques adopted in [R. Ikehata and Y. Inoue, Total energy decay for semilinear wave equations with a critical potential type of damping, Nonlinear Anal. 69(4) (2008) 1396-1401].

引用

页码：255 / 272

页数：18

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