TY - JOUR
T1 - The semigroup generated by a temple class system with large data
JF - Differential Integral Equations 10 (1997), no. 3, 401-418
Y1 - 1997
A1 - Paolo Baiti
A1 - Alberto Bressan
AB - 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.
PB - SISSA Library
UR - http://hdl.handle.net/1963/1023
U1 - 2833
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -