On the Cauchy Problem for Nonlinear Hyperbolic Systems
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
definition 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.
- Available as PostScript.
- On the Cauchy problem for nonlinear hyperbolic systems
- Alberto Bressan,
- Publishing information:
- Submitted by:
August 11 1998.
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