A wave equation with structural damping and nonlinear memory

被引：22

作者：

D'Abbicco, Marcello ^{[1
]}

机构：

[1] Univ Bari, Dept Math, I-70125 Bari, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2014年 / 21卷 / 05期

关键词：

Semilinear equations; Global existence; Nonlinear memory; Structural damping; Critical exponent; MAXIMUM PRINCIPLE; CRITICAL EXPONENT; GLOBAL EXISTENCE; L-P; DECAY;

D O I：

10.1007/s00030-014-0265-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the critical exponent for a wave equation with structural damping and nonlinear memory: where mu > 0. In the supercritical case, we prove the existence of small data global solutions, whereas, in the subcritical case, we prove the nonexistence of global solutions for suitable arbitrarily small data, in the special case mu = 2.

引用

页码：751 / 773

页数：23

共 29 条

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