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math.AP2026
The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions
Nicolò Drago, Nadine GroÃe, Simone Murro
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…
math.AP2024
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary
Nicolas Ginoux, Simone Murro
In this paper, the Cauchy problem for a Friedrichs system on a globally hyperbolic manifold with a timelike boundary is investigated. By imposing admissible boundary conditions, th…
math.AP2024
The five gradients inequality on differentiable manifolds
S. Di Marino, S. Murro, E. Radici
The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locall…