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arXiv · 1305.3535

Hyperbolic systems and propagation on causal manifolds

Pierre Schapira
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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.

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Pierre Schapira. 2013-05-15. Hyperbolic systems and propagation on causal manifolds. https://doi.org/10.1007/s11005-013-0637-2

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