Hyperbolic systems and propagation on causal manifolds [PDF]
Pierre SchapiraThis 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.View original: http://arxiv.org/abs/1305.3535
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