Abstract
This paper is concerned with convergence rates toward the rarefaction waves of the solutions for scalar viscous conservation laws in a half space. We show that the convergence rate is (1+t)-1/4log (2+t) in L2 -norm if the initial perturbation from the corresponding rarefaction waves is located in $H^1 \cap L^1$. This rate is equal to the well-known rate obtained for viscous conservation laws in the whole space. The proof is given by the combination of the standard L2 -energy method and L1 -estimate.
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