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The aim of the paper is to give $L^p$-estimates for the weak solution to the transport equation with $L^infty$-perturbation both of the attenuation coefficient and of the scattering kernel. We try to clarify the constants in our estimates, and we show the estimates by a direct calculation. We introduce the albedo operator for the solutions, and we show stability of perturbed albedo operators

Estimates for solutions to the transport equation under the perturbation of its attenuation and scattering terms