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BLOW-UP OF SOLUTIONS FOR VISCOELASTIC EQUATIONS OF KIRCHHOFF TYPE WITH ARBITRARY POSITIVE INITIAL ENERGY

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成果类型:
期刊论文
作者:
Yang, Zhifeng;Gong, Zhaogang*
通讯作者:
Gong, Zhaogang
作者机构:
[Yang, Zhifeng; Gong, Zhaogang] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
通讯机构:
[Gong, Zhaogang] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
语种:
英文
关键词:
Viscoelastic equation;blow-up;arbitrary positive initial energy
期刊:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN:
1072-6691
年:
2016
卷:
2016
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11671128]; Science and Technology Plan Project of Hunan Province [2016TP1020]; Key Construction Disciplines of Hunan Province and the Starting Project of Hengyang Normal University [16D01]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
We consider the viscoelastic equation u(tt)(x, t) - M(vertical bar vertical bar del u vertical bar vertical bar(2)(2))Delta u(x,t) +integral(t)(0)g(t-s)Delta u(x,s)ds + u(t) = vertical bar u vertical bar(p-1)u with suitable initial data and boundary conditions. Under certain assumptions on the kernel g and the initial data, we establish a new blow-up result for arbitrary positive in...

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