The Semigroup generated by a Temple Class System with Large Data
Paolo Baiti and Alberto Bressan
We consider the Cauchy problem
$$u_t + [F(u)]_x=0, u(0,x)=\bar u(x) (*)$$
for a nonlinear $n\times n$ system of conservation laws with
coinciding shock and rarefaction curves. Assuming the
existence of a coordinates system made of Riemann invariants,
we prove the existence of a weak solution of (*) that
depends in a lipschitz continuous way on the initial data,
in the class of functions with arbitrarily large but
bounded total variation.
- Available as PostScript
- The Semigroup generated by a Temple Class System with Large Data
- Paolo Baiti,
- Alberto Bressan,
- Publishing information:
- to appear on "Differential and Integral Equations"
- Submitted by:
September 4 1996.
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 <firstname.lastname@example.org>
Last modified: Wed Sep 4 13:05:12 1996