There will be an invited talk.

Title: Refined error estimates and decay properties for a damped semilinear wave equation
Speaker: Debora Amadori (University of L’Aquila)
Time: 30th May (Monday) 15:00 – 16:00
Place: 129 – 406
Abstract: [Click here]
This talk will concern the approximation of a semilinear wave equation with space-dependent damping in one space dimension.
After rewriting the equation as a first order system, we present an approach for proving rigorous L^1 error estimates
for certain classes of approximations. The main relevant features are that these approximations preserve stationary solutions
and that the L^1 difference with exact solutions is bounded uniformly in time, therefore leading to accurate estimates for large times.
Moreover, a decay property of the total variation of the solution is shown in the region where the damping is supported.
This will be related to a well-known property of decay of energy for the damped wave equation.