Generalized solutions for the Euler-Bernoulli model with distributional forces

被引：7

作者：

Hoermann, Guenther ^{[2
]}

Oparnica, Ljubica ^{[1
]}

机构：

[1] Serbian Acad Sci, Inst Math, Belgrade 11000, Serbia

[2] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

基金：

奥地利科学基金会;

关键词：

Generalized solutions to partial differential equations; Functional analytic methods; Differential equations with discontinuous coefficients; Colombeau generalized functions; Nonlinear theories of generalized functions; DISCONTINUOUS COEFFICIENTS; EQUATIONS; ALGEBRAS;

D O I：

10.1016/j.jmaa.2009.03.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing partial differential equation is of order four and involves discontinuous, and even distributional, coefficients and right-hand side. The general problem is solved by application of functional analytic techniques to obtain estimates for the solutions to regularized problems. Finally, we prove coherence properties and provide a regularity analysis of the generalized solution. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：142 / 153

页数：12

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