On the Cauchy Problem for Nonlinear Hyperbolic Systems
نویسنده
چکیده
This paper consider various examples of metrics which are contractive w.r.t. an evolution semigroup, and discusses the possibility of an abstract O.D.E. theory on metric spaces, with applications to hyperbolic systems. In particular, using a recently introduced deenition of Viscosity Solutions, it is shown how a strictly hyperbolic system of conservation laws can be reformulated as an abstract evolution equation on a closed domain of BV functions, with the L 1 distance.
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