Hyperbolic Systems and Propagation on Causal Manifolds
نویسنده
چکیده
In this paper, which is essentially a survey, 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 and ideas of purely algebraic and geometric nature from the microlocal theory of sheaves. Mathematics Subject Classification (2000). 35A27, 58J15, 58J45, 81T20.
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تاریخ انتشار 2013