Large time behavior of solutions to nonlinear beam equations
Analysis of PDEs
2025-11-04 v2
Abstract
In this article we will investigate the large time behavior of solutions of a special class of initial/boundary value problems that involve nonlinear damped beam equations. We will show that the solution energies of global pseudo classical solutions to these initial/boundary value problems decay exponentially.
Cite
@article{arxiv.2204.02151,
title = {Large time behavior of solutions to nonlinear beam equations},
author = {David Raske},
journal= {arXiv preprint arXiv:2204.02151},
year = {2025}
}
Comments
6 pages. This version uses the notion of a pseudo classical solution of an initial/boundary value problem