Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 27, pp. 1-12.

Title: Regularity result for the problem of vibrations 
       of a nonlinear beam
 
Authors: M'Bagne F. M'Bengue (Oakland Univ., Rochester, MI, USA)
         Meir Shillor        (Oakland Univ., Rochester, MI, USA)

Abstract: 
 A model for the dynamics of the Gao nonlinear beam, which allows for
 buckling,  is studied. Existence and uniqueness of the local weak solution
 was established in Andrews et al. (2008). In this work  the further
 regularity in time of the weak solution is shown using recent results for
 evolution problems. Moreover, the weak solution is shown to be global, 
 existing on each finite time interval.

Submitted January 25, 2008. Published February 28, 2008.
Math Subject Classifications: 74H30, 35L75, 74K10, 74D10, 74H45.
Key Words: Nonlinear beam; existence and uniqueness; energy balance;
           pseudomonotone operators; regularity.