Special Session 60: Recent advances in evolutionary equations
I will talk about a simple method to derive asymptotic profiles for strongly damped wave equations as time goes to infinity. In this case we impose rather stronger conditions only on the initial velocity. The method is classical and self-contained based on the Fourier analysis only. This result will become a kind of partial preciseness of that introduced by Y.Shibata in 2000. The method will be widely applicable to the other evolutionary equations.