Generalized solutions for the Euler-Bernoulli model with distributional forces
| dc.creator | Hörmann, Günther | |
| dc.creator | Oparnica, Ljubica | |
| dc.date | 2008-12-10 | |
| dc.date | 2008-12-11 | |
| dc.date.accessioned | 2026-07-07T12:11:42Z | |
| dc.date.available | 2026-07-07T12:11:42Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0812.1958 | |
| dc.identifier | http://arxiv.org/abs/0812.1958 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210302 | |
| dc.subject | Functional Analysis | |
| dc.subject | 35D05; 35D10; 46F30; 35Q72 | |
| dc.title | Generalized solutions for the Euler-Bernoulli model with distributional forces | |
| dc.type | text |