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.
Letters in Mathematical Physics
- Pub Date:
- May 2016
- Mathematics - Algebraic Geometry;
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- v2: we added the hypothesis that the cone defining a causal manifold is nowhere empty and other minor corrections