Preprint 1998033
A Uniqueness Condition for Hyperbolic Systems of Conservation Laws
Alberto Bressan and Marta Lewicka
Abstract:
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 spacelike curves.
 Paper:
 Available as PostScript .
 Title:
 A uniqueness condition for hyperbolic systems of conservation laws
 Author(s):
 Alberto Bressan,
<bressan@sissa.it>
 Marta Lewicka,
<lewicka@sissa.it>
 Publishing information:

 Comments:

 Submitted by:

<lewicka@sissa.it>
August 12 1998.
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Last modified: Wed Aug 12 14:45:09 1998