The Semigroup generated by a Temple Class System with Large Data

Paolo Baiti and Alberto Bressan

Abstract: 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.

Paper:
Available as PostScript
Title:
The Semigroup generated by a Temple Class System with Large Data
Author(s):
Paolo Baiti, <baiti@sissa.it>
Alberto Bressan, <bressan@sissa.it>
Publishing information:
to appear on "Differential and Integral Equations"
Submitted by:
<baiti@sissa.it> September 4 1996.

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