Singular perturbations of the Kirchhoff string equation

被引：0
|
作者：
Panizzi, S [1 ]
机构：
[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 05期
关键词：
quasilinear; hyperbolic; singular perturbations; extensible beam; nonlinear string;
D O I：
10.1016/S0362-546X(01)00776-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The singular perturbations of the Kirchoff string equation were presented. A general case was proved by taking into account the perturbations of the Kirchhoff string with fractional powers of the Laplace operator and the convergence was proved in fractional Sobolev spaces of order greater or equal than 3/2. Results showed that the one space derivative with respect to initial data was natural and also occurred in the linear case.
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页码：689 / 702
页数：14
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