BLOW-UP OF POSITIVE-INITIAL-ENERGY SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH NONLINEAR DAMPING

被引：28

作者：

Wu, Shun-Tang ^{[1
]}

Tsai, Long-Yi ^{[2
]}

机构：

[1] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 106, Taiwan

[2] Natl Chengchi Univ, Dept Math Sci, Taipei 116, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 05期

关键词：

Blow-up; Life span; Nonlinear damping; Integro-differential equation; GLOBAL EXISTENCE; WAVE EQUATIONS; KIRCHHOFF STRINGS; DISSIPATION; NONEXISTENCE; TERMS;

D O I：

10.11650/twjm/1500406031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial boundary value problem for an integro-differential equation with nonlinear damping in a bounded domain is considered. The local existence and blow-up of solutions with positive initial energy are discussed under some conditions. Estimates of the lifespan of solutions are also given.

引用

页码：2043 / 2058

页数：16

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