Existence and uniqueness of weak solutions for a thin plate with elastic boundary conditions

被引：4
|
作者：
Chudinovich, I
Constanda, C
机构：
[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland
[2] Kharkov AM Gorkii State Univ, Dept Math & Mech, UA-310077 Kharkov, Ukraine
来源：
APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 03期
关键词：
Mindlin plate; Robin conditions; weak solutions;
D O I：
10.1016/S0893-9659(99)00184-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Robin-type problems are studied for thin elastic plates with transverse sheer deformation. These problems are reduced to analogous ones for the corresponding homogeneous equilibrium equation, whose solutions are then represented as single and double layer potentials. The unique solvability of the systems of boundary integral equations yielded by this procedure is discussed in Sobolev spaces. (C) 2000 Elsevier Science Ltd. All rights reserved.
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页码：43 / 49
页数：7
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