Exponential growth of solutions with Lp - norm of a nonlinear viscoelastic hyperbolic equation

被引：5

作者：

Zennir, Khaled ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Sci, Dept Math, Sidi Bel Abbes, Algeria

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2013年 / 6卷 / 04期

关键词：

Nonlinear damping; strong damping; viscoelasticity; nonlinear source; exponential growth; BLOW-UP; GLOBAL EXISTENCE; WAVE-EQUATIONS; NONEXISTENCE THEOREMS; CAUCHY-PROBLEM; DECAY; STABILITY; ENERGY;

D O I：

10.22436/jnsa.006.04.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a viscoelastic wave equation, with strong damping, nonlinear damping and source terms, with initial and Dirichlet boundary conditions. We will show the exponential growth of solutions with L-p - norm if 2 <= m < p. (C)2013 All rights reserved.

引用

页码：252 / 262

页数：11

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