Preprint 1996044
WellPosedness for a Class of $2\times 2$ Conservation Laws with $L^\infty$ data
Paolo Baiti and Helge Kristian Jenssen
Abstract:
The Cauchy problem for a special class of $2\times 2$
systems of conservation laws with data in $L^1\cap L^\infty$ is
considered. In the strictly hyperbolic case we prove the existence
of a weak solution which depends continuously on the initial data
with respect to the $L^1$norm.
This solution can be characterized in terms of a Kru{\v{z}}kovtype
entropy condition, which is here introduced.
 Paper:
 Available as PostScript
 Title:
 WellPosedness for a Class of $2\times 2$ Conservation Laws with
$L^\infty$ data
 Author(s):
 Paolo Baiti,
<baiti@sissa.it>
 Helge Kristian Jenssen
<jenssen@math.ntnu.no>
 Publishing information:
 Submitted to Journal of Differential Equations
 Submitted by:

<helgekj@math.ntnu.no>
December 16 1996.
[
1996 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: Mon Dec 16 16:53:26 1996