The Semigroup Generated by a Temple Class System with Large Data

@inproceedings{Baiti1997TheSG,
  title={The Semigroup Generated by a Temple Class System with Large Data},
  author={Paolo Baiti and Alberto Bressan},
  year={1997}
}
We consider the Cauchy problem u t + F(u) x = 0; u(0; x) = u(x) () for a nonlinear n 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. 
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