Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term

被引：1
作者：
Kagei, Yoshiyuki [1 ]
Takeda, Hiroshi [2 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan
[2] Fukuoka Inst Technol, Fac Engn, Dept Intelligent Mech Engn, 3-30-1 Wajirohigashi,Higashi Ku, Fukuoka 8110295, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 219卷
关键词：
Nonlinear elastic wave equation; Damping terms; Consistency; Smoothing effect; Asymptotic profile; The Cauchy problem; GLOBAL EXISTENCE; ASYMPTOTIC PROFILES; STABILITY; DECAY;
D O I：
10.1016/j.na.2022.112826
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem for a nonlinear elastic wave equation with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solutions are investigated when the initial data are sufficiently small; and asymptotic profiles as t -> infinity are also derived. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：36
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