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On the Cauchy problem for \(2\times 2\) weakly hyperbolic systems. (English) Zbl 1122.35066

Summary: We prove results on existence and uniqueness of solutions of the Cauchy problem for \(2\times 2\) weakly hyperbolic systems. The results follow from an extension for systems of the work by O. Oleinik done in the scalar case.

MSC:

35L45 Initial value problems for first-order hyperbolic systems
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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