31 citations · 149 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
Nicoló Drago, Nicolas Ginoux, Simone Murro
We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator…
Global and microlocal aspects of Dirac operators: propagators and Hadamard states
Matteo Capoferri, Simone Murro
We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy-compact globally hyperbolic 4-manifolds. We realise the Cauch…
The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions
Nicolò Drago, Nadine Große, 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…
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…