Abstract
In this paper, we prove that the Cauchy problem to a hyperbolic conservation laws with relaxation with singular initial data admits a unique global entropy solution in the sense of Definition 1.1. Compared with former results in this direction, the main ingredient of this paper lies in the fact that it contains a uniqueness result and we do not ask f( u) to satisfy any convex, monotonic conditions and the regularity assumption we imposed on f( u) is weaker.
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