Examples of explicit solutions to the cubic wave equation
 
 
Description: 

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).

 

Date:  2022-12-16
Start Time:   15:00
Speaker:  Giuseppe Negro (CAMGSD, IST)
Institution:  CAMGSD-IST
Place:  Sala 5.5, DMUC and online (https://videoconf-colibri.zoom.us/j/95804382203?pwd=STNaRkpOT1ZxUStXbnRYN0pOSGY3Zz09)
Research Groups: -Analysis
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