Hyperbolic systems and propagation on causal manifolds
Analysis of PDEs
2015-06-15 v1 Mathematical Physics
Algebraic Geometry
math.MP
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.
Cite
@article{arxiv.1305.3535,
title = {Hyperbolic systems and propagation on causal manifolds},
author = {Pierre Schapira},
journal= {arXiv preprint arXiv:1305.3535},
year = {2015}
}
Comments
To appear in Letters in Mathematical Physics