Nicolas Besset (Université Paris-Saclay): Parametrix construction and Fredholm theory for totally characteristic wave type operators. Oberseminar Topics in General Relativity
Tuesday, 28.06.2022 12:00 im Raum SRZ204
Totally characteristic wave type operators naturally appear in cosmological black hole type spacetimes in General Relativity.
We propose a parametrix construction for such operators using Mellin type quantization. We then deduce the index 0 Fredholm property which allows us to define resonances of these operators as the zeros of a Fredholm determinant.
If time allows it, we will discuss how to use this method to numerically approximate resonances with control of the error.