Existence of a weak solution in an infinite viscoelastic strip with a semi-infinite crack

被引：8
|
作者：
Itou, H [1 ]
Tani, A [1 ]
机构：
[1] Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2004年 / 14卷 / 07期
关键词：
Initial-boundary value problems; laplace transform; weak solutions;
D O I：
10.1142/S0218202504003519
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an initial-boundary value problem in an infinite viscoelastic strip with a semi-infinite fixed crack. For this problem we prove the existence and uniqueness of a weak solution which is prescribed on each side of the extended crack in Sobolev-type spaces.
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页码：975 / 986
页数：12
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