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The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions by Drago, Nicolò; Große, Nadine; Murro, Simone is a scholarly article available to read on EtoBox.

What is The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions about?

We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to APS-boundary conditions. This is achieved by deriving suitable energy estimates, which play a fundamental role in establishing uniqueness and existence of weak solutions. Finally, by introducing suitable mollifier operators, we study the differentiability of the solutions. For obtaining smoothness we need additional technical conditions.

Author

Drago, Nicolò; Große, Nadine; Murro, Simone

Published

2021

Language

EN