Ebert, Marcelo Rempel On the Cauchy problem for \(2\times 2\) weakly hyperbolic systems. (English) Zbl 1122.35066 Osaka J. Math. 42, No. 4, 831-860 (2005). 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. Cited in 1 ReviewCited in 2 Documents MSC: 35L45 Initial value problems for first-order hyperbolic systems 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:non-characteristic Cauchy problem PDF BibTeX XML Cite \textit{M. R. Ebert}, Osaka J. Math. 42, No. 4, 831--860 (2005; Zbl 1122.35066) OpenURL