Generalized solutions for the Euler-Bernoulli model with distributional forces
Functional Analysis
2008-12-11 v2
Abstract
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.
Cite
@article{arxiv.0812.1958,
title = {Generalized solutions for the Euler-Bernoulli model with distributional forces},
author = {Günther Hörmann and Ljubica Oparnica},
journal= {arXiv preprint arXiv:0812.1958},
year = {2008}
}