## 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)

### Keywords:

non-characteristic Cauchy problem