TY - JOUR
T1 - A Uniqueness Condition for Hyperbolic Systems of Conservation Laws
JF - Discrete Contin. Dynam. Systems 6 (2000) 673-682
Y1 - 2000
A1 - Alberto Bressan
A1 - Marta Lewicka
AB - Consider the Cauchy problem for a hyperbolic $n\\\\times n$ system of conservation laws in one space dimension: $$u_t+f(u)_x=0, u(0,x)=\\\\bar u(x).\\\\eqno(CP)$$ Relying on the existence of a continuous semigroup of solutions, we prove that the entropy admissible solution of (CP) is unique within the class of functions $u=u(t,x)$ which have bounded variation along a suitable family of space-like curves.
PB - American Institute of Mathematical Sciences
UR - http://hdl.handle.net/1963/3195
U1 - 1106
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -