Decay property for nonlinear damped wave equations in one space dimension

被引：0

作者：

Katayama, Soichiro ^{[1
]}

Wakasa, Kyouhei ^{[2
]}

Yordanov, Borislav ^{[3
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, 1-1 Machikaneyama Cho, Toyonaka, Osaka 5600043, Japan

[2] Natl Inst Technol, Kushiro Coll, Dept Creat Engn, 2-32-1 Otanoshike Nishi, Kushiro, Hokkaido 0840916, Japan

[3] Bulgarian Acad Sci, Inst Math & Informat, 8 Akad,Georgi Bonchev Str, Sofia 1113, Bulgaria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 404卷

关键词：

Nonlinear wave equation; Nonlinear damping; Energy decay; Pointwise decay; ENERGY DECAY;

D O I：

10.1016/j.jde.2024.05.048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the wave equation with a nonlinear dissipative term in one space dimension. When the power of the nonlinearity is greater than two, we get a pointwise decay estimate for solutions, from which we also obtain the energy decay result by using the L1 -estimate of Haraux [1]. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：279 / 296

页数：18

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