Long time existence for two-dimension elastic waves

被引：2
作者：
Peng, Weimin [1 ]
Zha, Dongbing [2 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 318卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear elastic waves; Lifespan; GLOBAL EXISTENCE; LIFE-SPAN; CLASSICAL-SOLUTIONS; HYPERBOLIC SYSTEMS; NULL CONDITION; EQUATIONS; REGULARITY; AMPLITUDE;
D O I：
10.1016/j.jde.2022.02.044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, for the Cauchy problem of nonlinear elastic wave equations for two-dimension isotropic, homogeneous and hyperelastic materials with small initial data, we give the lifespan estimates for classical solutions. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页码：384 / 413
页数：30
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