Renormalized entropy solutions of scalar conservation laws with boundary condition

摘要

We study an initial boundary value problem for a scalar conservation law u(t) + div Phi(u) = f on a bounded domain. Existence and uniqueness of a renormalized entropy solution is established for general L-1-data, Phi is an element ofC(R, R-N). (C) 2002 EIsevier-Science (USA). [References: 20]