Semilinear hyperbolic boundary value problem for linear elasticity equations

被引：2

作者：

Rahmoune, A. ^{[1
]}

Benabderrahmane, B. ^{[1
]}

机构：

[1] Laghouat Univ 03000, LIM, Laghouat, Algeria

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 04期

关键词：

Compactness; Existence; Gronwall's inequality; linear elasticity; Uniqueness of solution; Regularity; Semilinear hyperbolic equation; Variational problem;

D O I：

10.12785/amis/070421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a semilinear hyperbolic boundary value problem associated to the linear elastic equations. Then, existence of a weak solution is established through compactness method. The uniqueness and the regularity of the solution have been gotten by eliminating some hypotheses that have been imposed by other authors for different particular problems.

引用

页码：1421 / 1428

页数：8

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