Late-time asymptotics for the Klein-Gordon equation on a Schwarzschild black hole

Seminar: 
Analysis
Event time: 
Thursday, February 8, 2024 - 4:00pm
Speaker: 
Maxime Van De Moortel
Speaker affiliation: 
Rutgers University
Event description: 

It has long been conjectured that the Klein-Gordon equation on a Schwarzschild black hole behaves very differently from the wave equation at late-time, due to the presence of stable (timelike) trapping. We present our recent resolution of this question, uncovering an unexpected contrast between solutions with exponentially-decaying initial data versus those with polynomial decay. Joint with Yakov Shlapentokh-Rothman.