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N. N

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 20.06.2022 von N. N
Geändert am 20.06.2022 von N. N
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Oberseminar Angewandte Mathematik
Bridging the Gaps Oberseminar Analysis'
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