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math.AP2025
The Cauchy Problem for Symmetric Hyperbolic Systems with Nonlocal Potentials
Felix Finster, Simone Murro, Gabriel Schmid
In this paper, we investigate the initial value problem for symmetric hyperbolic systems on globally hyperbolic Lorentzian manifolds with potentials that are both nonlocal in time…
math-ph2025
Pseudodifferential Weyl calculus on vector bundles
Lars Andersson, Benjamin Moser, Marius A. Oancea +2
We develop a geometric framework for Weyl quantization on pseudo-Riemannian manifolds, in which pseudodifferential operators act on sections of vector bundles equipped with pseudo-…