Hyperbolic systems and propagation on causal manifolds
arXiv:1305.3535 · doi:10.1007/s11005-013-0637-2
Abstract
This is essentially a survey paper in which we solve the global Cauchy problem on causal manifolds for hyperbolic systems of linear partial differential equations in the framework of hyperfunctions. Besides the classical Cauchy-Kowalevsky theorem, our proofs only use tools from the microlocal theory of sheaves, that is, tools of purely algebraic and geometric nature.
To appear in Letters in Mathematical Physics