Andres Franco Grisales: Asymptotics of silent wave equations
Tid: To 2023-04-27 kl 10.15 - 11.15
Plats: 3418, Lindstedtsvägen 25
Språk: English
Medverkande: Andres Franco Grisales, KTH
We study the asymptotics of a particular class of linear wave equations, namely, of silent equations. We obtain asymptotic estimates of all orders for the solutions, and show that solutions are uniquely determined by the asymptotic data contained in the estimates. As an application, we then study solutions to source free Maxwell's equations in Kasner spacetime near the initial singularity. Our results then allow us to obtain an asymptotic expansion for the electromagnetic potential, and to show that the energy density of generic solutions blows up along generic timelike geodesics when approaching the singularity.