%0 Journal Article %J Differential Integral Equations 10 (1997), no. 3, 401-418 %D 1997 %T The semigroup generated by a temple class system with large data %A Paolo Baiti %A Alberto Bressan %X 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. %B Differential Integral Equations 10 (1997), no. 3, 401-418 %I SISSA Library %G en %U http://hdl.handle.net/1963/1023 %1 2833 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:41:49Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995