Estimates for solutions to the transport equation under the perturbation of its attenuation and scattering terms
2012
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.
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