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.
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页码：279 / 296
页数：18
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