## Decay estimates for the Cauchy problem for the damped extensible beam equation

2015
##### Series
Konstanzer Schriften in Mathematik; 335
##### Publication type
Working Paper/Technical Report
##### Abstract
The extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time.
510 Mathematics
##### Cite This
ISO 690RACKE, Reinhard, Shuji YOSHIKAWA, 2015. Decay estimates for the Cauchy problem for the damped extensible beam equation
BibTex
@techreport{Racke2015Decay-30730,
year={2015},
series={Konstanzer Schriften in Mathematik},
title={Decay estimates for the Cauchy problem for the damped extensible beam equation},
number={335},
author={Racke, Reinhard and Yoshikawa, Shuji}
}

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Yes