Sheaves and DModules on Lorentzian Manifolds
Abstract
We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and prove global propagation theorems for sheaves on such manifolds. As an application, we solve globally the Cauchy problem for hyperfunction solutions of hyperbolic systems.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 May 2016
 DOI:
 10.1007/s110050160832z
 arXiv:
 arXiv:1510.01499
 Bibcode:
 2016LMaPh.106..607J
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 35A27;
 58J15;
 58J45;
 81T20
 EPrint:
 v2: we added the hypothesis that the cone defining a causal manifold is nowhere empty and other minor corrections