Event Date:
Friday, March 21, 2014 - 3:00pm to 4:00pm
Event Location:
- 4607B South Hall
Event Contact:
Carlos Garcia-Cervera
Email: cgarcia@math.ucsb.edu
Phone: 18055638873
In this talk, we consider the existence of the global solution and its asymptotic profile for the Cauchy problem for the nonlinear damped beam equation. We show that the equation admits a unique global solution with small slowly decaying data. Moreover we show that the solution can be approximated by the solution of the linear heat equation with suitable data. The proof is based upon the estimates for the evolution operator of the linearized equation in the homogeneous Sobolev space.
October 21, 2014 - 11:09am