Display Abstract

Title Global existence and asymptotic behavior of solutions to the nonlinear beam equation with weak damping

Name Hiroshi Takeda
Country Japan
Email h-takeda@fit.ac.jp
Submit Time 2014-02-24 02:20:20
Special Session 60: Recent advances in evolutionary equations
In this talk, we consider the Cauchy problem for a nonlinear beam equation with weak damping. First we show the the existence of a global solution and its decay estimates under small initial data condition. Next we derive asymptotic behavior of the global solution, which shows that the estimates obtained here are optimal. Our strategy for the proof is an application of the estimates for the linear solution of the damped beam equation.