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

被引：4

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.

引用

页数：36

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