BLOW-UP OF SOLUTION FOR A VISCOELASTIC WAVE EQUATION WITH DELAY

被引：10

作者：

Wu, Shun-Tang ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 01期

关键词：

blow up; nonlinear source; wave equation; delay; viscoelastic; TIME-VARYING DELAY; DYNAMIC BOUNDARY; GENERAL DECAY; STABILIZATION; STABILITY; RESPECT; SYSTEMS; TERM;

D O I：

10.1007/s10473-019-0124-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the following viscoelastic wave equation with delay vertical bar ut vertical bar(rho) u(tt) - Delta u - Delta u(tt) + integral(t)(0) g(t - s)Delta u(s)ds + mu(1)u(t)(x, t) + mu(2)u(t)(x,t - tau ) = b vertical bar u vertical bar(p-2) u in a bounded domain. Under appropriate conditions on mu(1), mu(2), the kernel function g, the nonlinear source and the initial data, there are solutions that blow up in finite time.

引用

页码：329 / 338

页数：10

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