Remarks on Global Smoothing Effect of Solutions to Nonlinear Elastic Wave Equations with Viscoelastic Term

被引：0

作者：

Kagei, Yoshiyuki ^{[1
]}

Takeda, Hiroshi ^{[2
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo, Japan

[2] Fukuoka Inst Technol, Dept Intelligent Mech Engn, Fac Engn, Higashi Ku, Fukuoka, Japan

来源：

ANALYSIS, APPLICATIONS, AND COMPUTATIONS | 2023年

关键词：

DECAY;

D O I：

10.1007/978-3-031-36375-7_40

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to give the precise statement and proof of smoothing effect and asymptotic profiles of the small global solutions to quasilinear elastic wave equations with viscoelastic terms, which were already announced in Kagei and Takeda (Nonlinear Anal 219, Paper No. 112826, 36 pp., 2022). Here the nonlinear terms in this paper include time derivative. The proof is based on the estimates for the fundamental solutions. The difference between spatial derivative and time derivative in nonlinear terms is remarked.

引用

页码：527 / 536

页数：10

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