PDE Seminar (2019/12/13): Blow up of solutions of semilinear wave equations with scale-invariant damping relevant to nonlinear waves in FLRW spacetime

Date
2019-12-13 16:30 - 2019-12-13 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Kimitoshi Tsutaya (Hirosaki University)
 
We consider a semilinear wave equation with scale-invariant damping and power nonlinearity, which generalizes a nonlinear wave equation in the Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes. The FLRW spacetimes known as standard model of cosmology are spatially homogeneous and isotropic. In this talk we show blow-up in a finite time of solutions as well as upper bounds of the lifespan in subcritical and critical cases. This talk is based on a joint work with Yuta Wakasugi.