Preprint 1998-032
On the Cauchy Problem for Nonlinear Hyperbolic Systems
Alberto Bressan
Abstract:
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.
- Paper:
- Available as PostScript.
- Title:
- On the Cauchy problem for nonlinear hyperbolic systems
- Author(s):
- Alberto Bressan,
<bressan@sissa.it>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<wens@ifi.uio.no>
August 11 1998.
[
1996 Preprints
|
1997 Preprints
|
1998 Preprints
|
All Preprints
|
Preprint Server Homepage
]
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Tue Aug 11 12:08:21 1998