The shock front asymptotics in the linear problem of shock wave

The article is a direct continuation of the previous papers of the authors, devoted to the linear problem of shock wave disturbance. The asymptotics of shock front disturbance in time in the stability case at the presence of the pre-shock initial perturbations is studied. The two principal terms of the asymptotics are determined and studied. We want to point out that the first term of the asymptotics of first degree was not discovered before.