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.
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Last modified: Wed Sep 4 13:05:12 1996