Blowup Of Solutions For Evolution Equations With Nonlinear Damping

被引：0
作者：
Wu, Shun-Tang [1 ]
Tsai, Long-Yi [2 ]
机构：
[1] China Univ Technol, Gen Educ Ctr, Taipei 116, Taiwan
[2] Chengchi Univ, Dept Math Sci, Taipei 116, Taiwan
来源：
APPLIED MATHEMATICS E-NOTES | 2006年 / 6卷
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The initial boundary value problem for a class of evolution equations with nonlinear damping in a bounded domain is considered. By modifying the method in [8], we prove that any solution, with nonpositive initial energy as well as small positive initial energy, blows up in finite time under some conditions. The estimates of the lifespan of solutions are also given. We improve an earlier result in [12].
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页码：58 / 65
页数：8
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