Joint BCAM-UPV/EHU Analysis and PDE seminar: Examples of explicit solutions to the cubic wave equation

Date: Mon, Dec 19 2022

Hour: 12:00

Location: UPV/EHU

Speakers: Giuseppe Negro

Location: UPV/EHU

We construct a two-parameter family of solutions to the focusing cubic wave equation in $mathbb{R}^{1+3}$. Depending on the values of the parameters, these solutions either scatter to linear ones, blow-up in finite time, or exhibit a new type of unstable behaviour that acts as a threshold between the other two. We further prove that the blow-up behaviour is stable and we characterize the threshold behaviour precisely, both pointwise and in Sobolev sense.

Joint work with Thomas Duyckaerts (Sorbonne Paris Nord).

More info at


 Instituto Superior Técnico

Confirmed speakers:

Giuseppe Negro