Local Quantum Physics Crossroads

On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary

Nicolas Ginoux, Simone Murro

July 06, 2020

symmetric hyperbolic systems, symmetric positive systems, admissible boundary conditions, Dirac operator, normally hyperbolic operator, Klein-Gordon operator, heat operator, reaction-diffusion operator, globally hyperbolic manifolds with timelike boundary.

open access link Adv. Differential Equations 27(7/8): 497-542 (2022) article file

The Fermionic Signature Operator in De Sitter Spacetime

Claudio Dappiaggi, Felix Finster, Simone Murro, Emanuela Radici

February 25, 2019

Hadamard states, Ferminic Signature Operator, Dirac operator, de Sitter spacetime

open access link doi:10.1016/j.jmaa.2019.123808

The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary

Nadine Große, Simone Murro

June 18, 2018

Cauchy problem, Dirac operator, globally hyperbolic spacetimes with timelike boundary

open access link doi:10.25537/dm.2020v25.737-765 article file