科研之友
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摘要
This paper concerns the Cauchy problem of a model system to the radiating gas in Rn. Large time behaviors of classical solutions to the Cauchy problem are studied without needing the smallness assumption of initial perturbation in L-1-norm. We obtain the optimal H-N-norm time-decay rates of the solutions in Rn with 1n4 by applying the Fourier splitting method introduced by Schonbek (1980) with a slight modification and an energy method. Furthermore, when initial perturbation is bounded in L-p-norm (p(1,2]), optimal L-p- L-2 decay estimates of the derivatives of solutions are shown.
