Uniqueness results for diagonal hyperbolic systems with large andmonotone data
نویسندگان
چکیده
In this paper, we study the uniqueness of solutions for diagonal hyperbolic systems in one space dimension. We present two uniqueness results. The first one is a global existence and uniqueness result of a continuous solution for strictly hyperbolic systems. The second one is a global existence and uniqueness result of a Lipschitz solution for hyperbolic systems not necessarily strictly hyperbolic. An application of these two results is shown in the case of one-dimensional isentropic gas dynamics. AMS Classification: 35L45, 35Q35, 35Q72, 74H25.
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