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

Mathematik und Informatik

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.

Angelegt am Monday, 20.06.2022 11:25 von jrahenbr
Geändert am Monday, 20.06.2022 11:25 von jrahenbr
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