Sunday, May 19, 2013

1305.3535 (Pierre Schapira)

Hyperbolic systems and propagation on causal manifolds    [PDF]

Pierre Schapira
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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