Optimal blowup stability for wave maps

Series
PDE Seminar
Time
Tuesday, April 25, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Location
Online: https://gatech.zoom.us/j/95574359880?pwd=cGpCa3J1MFRkY0RUeU1xVFJRV0x3dz09
Speaker
Roland Donninger – University of Vienna – roland.donninger@univie.ac.athttps://homepage.univie.ac.at/roland.donninger/
Organizer
Gong Chen

I discuss some recent results, obtained jointly with David Wallauch, on the stability of self-similar wave maps under minimal regularity assumptions on the perturbation. More precisely, we prove the asymptotic stability of an explicitly known self-similar wave map in corotational symmetry. The key tool are Strichartz estimates for the linearized equation in similarity coordinates.