PDE seminar: On diffusion phenomena for the linear wave equation with space-dependent damping

Date
2013-10-7 16:30 - 2013-10-7 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Yuta Wakasugi (Osaka University)
 
In this talk, we prove the diffusion phenomenon for
the linear wave equation with space-dependent
damping. Namely, we show that the asymptotic
profile of the solution is given by a solution of the
corresponding heat equation. The key point of the
proof is weighted energy estimates for higher order
derivatives.